Ononot — If a:b = \frac{1}{2}:\frac{1}{3}, b:c = \frac{1}{4}:\frac{1}

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If $a:b = \frac{1}{2}:\frac{1}{3}$ , $b:c = \frac{1}{4}:\frac{1}{5}$ , and $c:d = \frac{1}{6}:\frac{1}{7}$ , what is the ratio $a:d$ ?