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A googleplex. It's a 1 with a hundred zeros.

NO.

A googol (not Google) is 1 followed by 100 zeros. A googolplex is 1 followed by a googol zeros. In any case, neither is the largest rational number.

There cannot be a largest rational number since one more than that is going to be bigger. But there are some numbers that have been used in serious mathematical studies and that do have names which are far larger. See, for example the wikipedia entry for large numbers (link below).

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14y ago
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Q: What is the largest rational number?
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