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Considering Earth's potential as 0 is nothing but an assumption.We assume that Earth  is a collection of infinte negative charge and it can even supply more charges to it.As earth has such a huge amount of negative charge with capacity to be supplied with even more any other body will  be positive w.r.t Earth.Hence we assume its potential to be zero.

Aliter

As Earth can store unlimited charge its capacitance is infinity

Q=CV

=>C=Q/V

As C is infinity V has to be 0.

Hope this solved your query

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