A student prepares a mixture by adding \(50.0 \text{ mL}\) of \(4.0 \times 10^{-4} \text{ M } \text{AgNO}_3\text{(aq)}\) to \(150.0 \text{ mL}\) of a \(\text{NaCl(aq)}\) solution of unknown concentration at \(25^\circ\text{C}\). Given that \(K_{sp}\) for \(\text{AgCl}\) is \(1.8 \times 10^{-10}\) at \(25^\circ\text{C}\) and assuming volumes are additive, what is the maximum initial molar concentration of the \(\text{NaCl(aq)}\) solution that can be used without forming a precipitate of \(\text{AgCl(s)}\)?