Relative to an origin \(O\), the position vectors of the points \(A, B\) and \(C\) are given by

\(\overrightarrow{OA} = \begin{pmatrix} 8 \\ -6 \\ 5 \end{pmatrix}, \quad \overrightarrow{OB} = \begin{pmatrix} -10 \\ 3 \\ -13 \end{pmatrix} \quad \text{and} \quad \overrightarrow{OC} = \begin{pmatrix} 2 \\ -3 \\ -1 \end{pmatrix}.\)

A fourth point, \(D\), is such that the magnitudes \(|\overrightarrow{AB}|, |\overrightarrow{BC}|\) and \(|\overrightarrow{CD}|\) are the first, second and third terms respectively of a geometric progression.

(i) Find the magnitudes \(|\overrightarrow{AB}|, |\overrightarrow{BC}|\) and \(|\overrightarrow{CD}|\).

(ii) Given that \(D\) is a point lying on the line through \(B\) and \(C\), find the two possible position vectors of the point \(D\).