In an ore containing uranium, the ratio of \(^{238}\text{U}\) to \(^{206}\text{Pb}\) is \(3:1\). Calculate the age of the ore, assuming that all the lead present in the ore is the final stable product of \(^{238}\text{U}\). Take the half-life of \(^{238}\text{U}\) to be \(4.5\times10^9\) yr.