The solubility of barium iodate in an aqueous solution prepared by mixing \( 200 \\ \mathrm{mL} \) of \( 0.010 \\ \mathrm{M} \) barium nitrate with \( 100 \\ \mathrm{mL} \) of \( 0.10 \\ \mathrm{M} \) sodium iodate is \( X \times 10^{-6} \\ \mathrm{mol \, dm^{-3}} \). The value of \( X \) is __________.
Use: Solubility product constant \( (K_{sp}) \) of barium iodate \( = 1.58 \times 10^{-9} \).
