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Microsoft is now 20x bigger than IBM in terms of market cap.

the only way to settle this is to sum the market cap of both companies over their entire history while adjusting all values for inflation

keep in mind that IBM[0] is over a hundred years old, and microsoft isn't even half of that [0]

[0] wikipedia

The only way to settle this once and for all, is an arm wrestle between Arvind Krishna and Satya Nadella.

that would not settle it "once and for all"

it would merely settle "for now" becuase as soon as either of them get succeded you will have to repeat the contest