In a hypothetical scenario, the element Y has 4 stable isotopes \(^{197}{Y}\), \(^{198}{Y}\), \(^{199}{Y}\), and \(^{200}{Y}\). The isotope \(^{199}{Y}\) is radiogenic and is formed by \(\beta^-\)-decay of the isotope \(^{199}{X}\) of the element X with a half-life of 3.51 billion years. An igneous rock, which has behaved as a closed system, has three different minerals P, Q, and R, which crystallized from the same magma 2 billion years ago, with initial X/Y ratios of 1.75, 2.05, and 0.75, respectively. Which one of the following statements is true for the ratio \(^{199}{Y}/^{200}{Y}\) in this igneous rock in the present day?