Counterfeit Coins

You are offered ten stacks of coins, each stack containing at least a dozen coins. Nine stacks are only gold coins that weigh 1 gram each. But the coins in one stack are false and weigh 1.1 grams.

You may use a balance that gives the exact weight in tenths of grams. But this balance has one problem: it can be used only once.

Can you find out (in one weighing) which stack consists of false coins?

Think hard before looking at the solution here

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