Three lightbulbs with individual resistances \(R\), \(2R\), and \(3R\) are connected in series to an ideal power supply that maintains a constant potential difference \(V_0\). The total rate of energy dissipation in this series circuit is \(P_{\text{series}}\). The three lightbulbs are then disconnected and reconnected in parallel across the same power supply, where the total rate of energy dissipation is \(P_{\text{parallel}}\). What is the ratio \(\dfrac{P_{\text{parallel}}}{P_{\text{series}}}\)?