Solution:
To make the volume of an ideal gas four times its initial volume, we can use Boyle's Law, which states:
\[
P \propto \frac{1}{V} \quad \text{(at constant temperature)}
\]
If the initial pressure is \( P \) and the initial volume is \( V \), we want the final volume \( V_{\text{final}} = 4V \).
According to Boyle's Law:
\[
P_{\text{final}} \times V_{\text{final}} = P \times V
\]
Substituting \( V_{\text{final}} = 4V \):
\[
P_{\text{final}} \times 4V = P \times V
\]
\[
P_{\text{final}} = \frac{P}{4}
\]
So, to make the volume four times, we quarter the pressure at constant temperature.
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