Aptitude Question ID : 93621
If a : b = b : c, then $latex a^{4}:b^{4}$ is equal to:
[A]$latex b^{2}: ac$
[B]$latex ac : b^{2}$
[C]$latex c^{2}: a^{2}$
[D]$latex a^{2}: c^{2}$
$latex \mathbf{a^{2}: c^{2}}$
$latex \frac{a}{b} = \frac{b}{c}&s=1$
$latex => b^{2} = ac$
$latex => b^{4} = a^{2}c^{2}$
$latex \therefore \frac{a^{4}}{b^{4}} = \frac{a^{4}}{a^{2}c^{2}} = \frac{a^{2}}{c^{2}} = a^{2} : c^{2}&s=1$
Hence option [D] is the right answer.