For about \( 10 \) years after the French Revolution, the French government attempted to base the measurement of time on multiples of ten: One week consisted of \( 10 \) days, one day consisted of \( 10 \) hours, one hour consisted of \( 100 \) minutes, and one minute consisted of \( 100 \) seconds. What is the ratio of the duration of one French decimal second to the duration of one standard second?

Assume that one French day was equal to one standard day.

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