If (a)/(b) = (1)/(3), (b)/(c) = 2, (c)/(d) = (1)/(2), (d)/(e) = 3 and (e)/(f) = (1)/(4), then wh

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If $\frac{a}{b} = \frac{1}{3}$, $\frac{b}{c} = 2$, $\frac{c}{d} = \frac{1}{2}$, $\frac{d}{e} = 3$ and $\frac{e}{f} = \frac{1}{4}$, then what is the value of $\frac{a^2b^2c^2}{d^2e^2f^2}$?