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Determine all sequences of equal ratios of the form

\frac{a_1}{a_2} = \frac{a_3}{a_4} = \frac{a_5}{a_6} = \frac{a_7}{a_8}

which simultaneously satisfy the following conditions:

\bullet

The set

\{ a_1, a_2, \ldots , a_8 \}

represents all positive divisors of

24

\bullet

The common value of the ratios is a natural number.

Problem Statement