If A : B=2: 3, B:C=4:5, and C:D=6:7 then A: B: C: D is

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Solution

$A : B = 2 : 3 \frac{A}{B} = \frac{2}{3} B : C = 4 : 5 \frac{B}{C} = \frac{4}{5} C : D = 6 : 7 \frac{C}{D} = \frac{6}{7} \frac{A}{B} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24} \frac{B}{C} = \frac{4 \times 6}{5 \times 6} = \frac{24}{30} \frac{C}{D} = \frac{6 \times 5}{7 \times 5} = \frac{30}{35} A : B : C : D = 16 : 24 : 30 : 35$

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