A parallel plate capacitor has plate area $100 \mathrm{~m}^2$ and plate separation of 10 m . The space between the plates is filled up to a thickness 5 m with a material of dielectric constant of 10 . The resultant capacitance of the system is ' x ' pF . The value of $\varepsilon_0=8.85 \times 10^{-12} \mathrm{~F} . \mathrm{m}^{-1}$.
The value of ' $x$ ' to the nearest integer is $\_\_\_\_$ .
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