Australia bowled out for 239 in reply to England's record 481-6
England's biggest ever win & Australia's heaviest defeat (in terms of runs)
Hales scores incredible 147 off 92 balls
Bairstow - dropped on 30 - smashes 139, also off 92 balls
Morgan becomes England's record ODI runscorer in making 67 (30 balls)
Skipper also hits fastest half-century by an England player (21 balls)
Australia won toss; England lead five-match series 3-0
So here are the final bowling figures for England.
Joe Root and David Willey took some punishment, but Mark Wood, Moeen Ali and especially Adil Rashid were excellent on a great surface for batting.
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Graeme Swann
Ex-England spinner on BBC Test Match Special
At one point, it looked like Bairstow and Roy were going to take it to 500-0. When Roy got run out, you thought that would put the brakes on because no one could score that fluently, but Alex Hales outdid them both.
Andy Zaltzman
BBC Test Match Special statistician
That is the first time England's spinners have taken seven wickets against Australia in an ODI.
Daniel Norcross
BBC Test Match Special
What a day for Tim Paine. He won the toss, and that was all he won.
England have secured their biggest ever victory in ODI cricket, surpassing the previous mark of 210 runs against New Zealand in 2015.
That is also Australia's heaviest ever defeat, beating the previous record of 206 runs against New Zealand in 1986.
Graeme Swann
Ex-England spinner on BBC Test Match Special
Australia have come third in a two-horse race. England have been phenomenal. Their batting performance blew my mind. It doesn't matter who they would have played, they would have blown them away.
So having set Australia a very unlikely 482 for victory, England have bowled out the tourists for 239 to secure an emphatic victory by 242 runs.
That's also the series for England as they take an unassailable 3-0 lead in the five-match series.
What a performance.
Stanlake st Buttler b Rashid 1 (Aus 239 all out)
And that indeed is that!
Big Billy was a long way down, played all around it and Jos Buttler snaffles his second stumping in as many overs.
Adil Rashid finishes with tremendous figures of 10-0-47-4. Mostly about the batsmen today but that is another brilliant display from the leg-spinner.
Is that that?
Adil Rashid zips a googly past Billy Stanlake's heave and Jos Buttler whips off the bails.
We're going upstairs but that looked out...
Adil Rashid is on for his last over, with figures of 9-0-44-3 so far.
Going for under five an over on this pitch would be a heck of an achievement.
Can he do it?
Charles Dagnall
BBC Test Match Special
Jhye Richardson should actually be in with a shout of being man of the match, because he bowled a maiden.
Adam Gilchrist
Former Australia wicketkeeper on TMS
The spinners continue to be impressive. There was a little bit of turn, inviting. It wasn't the wildest stroke you'll ever see, but it went past him and Buttler did the rest.
J Richardson st Buttler b Moeen 14 (Aus 236-9)
Moeen Ali returns and Australia's torment by spin continues.
He tosses it up outside off, Jhye Richardson goes on the attack but his hoik misses and Jos Buttler completes a regulation stumping.
That's six wickets for England's spinners so far.
Andy Zaltzman
BBC Test Match Special statistician
Jonny Bairstow is only the eighth player to score four centuries in six ODI innings. The others are Kohli, Warner, De Kock, Sangakkara, Amla, De Villiers and Zaheer Abbas.
Target 482
Andrew Tye is welcomed to the crease with a teasingly flighted delivery down at just 36mph.
He opts against battering it though, driving to long-off for a couple.
Reminiscent of the Jeremy Snape moon ball that.
Adam Gilchrist
Former Australia wicketkeeper on TMS
It might have been a back-spinner, skidding on. Agar was trying to turn it on the leg side. It flew back to Rashid. It's a beautifully taken catch.
Agar c&b Rashid 25 (Aus 230-8)
Oh Adil Rashid that is superb.
The leg-spinner sends down a skiddy variation ball, Ashton Agar tries to muscle it to the leg side but gets a fierce leading edge.
Rashid flings himself to his right and clings on, gathering the ball almost between his wrists and stopping it from bouncing out as he falls.
Another deserved wicket for the impressive Rashid.
James Anderson
England bowler on BBC Test Match Special
Look at the 1999 World Cup, I loved that - watching the likes of Wasim Akram, Allan Donald and Shaun Pollock swinging the new ball and causing havoc. Nobody takes more pleasure in Australia struggling than I do, but I still prefer a close game with players being put under pressure.
Hello!
Ashton Agar hits as big a six as we've seen today.
Liam Plunkett sends down a cross-seam delivery but it's right in the arc and Agar steps back and smacks it waaaaay over mid-wicket into the stands.