The quantities \(a\) and \(b\) are in the ratio \(5:6\).The quantities \(b\) and \(c\) are in the ratio \(9:4\).Write the ratio \(a:b:c\) in its simplest form.
[1]\(p\) is inversely proportional to the square root of \(q\). When \(q=36\), \(p=\dfrac{1}{2}\).Find the exact value of \(p\) when \(q=169\).
[2]\(y\) is directly proportional to \(x^2\). For a certain \(x\) value, \(y\) is \(25\).Find the value of \(y\) when \(x\) is doubled.
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