$$\frac{4ac^{2}}{5x}(\frac{10d^{2}x^{2}}{12a^{2}c^{2}})=$$
$\frac{2xd^{2}}{3a}$
$$\frac{4ac^{2}}{5x}\times \frac{5d^{2}x^{2}}{6a^{2}c^{2}}$$
$$\frac{4ac^{2}\times 5d^{2}x^{2}}{5x\times 6a^{2}c^{2}}$$
$$\frac{2xd^{2}}{3a}$$
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$\frac{2d^{2}}{3a}$
