The value of $$\frac{{{{\left( {0.06} \right)}^2} + {{\left( {0.47} \right)}^2} + {{\left( {0.079} \right)}^2}}}{{{{\left( {0.006} \right)}^2} + {{\left( {0.047} \right)}^2} + {{\left( {0.0079} \right)}^2}}}$$       is :

Given expression :
$$ = \frac{{{a^2} + {b^2} + {c^2}}}{{{{\left( {\frac{a}{{10}}} \right)}^2} + {{\left( {\frac{b}{{10}}} \right)}^2} + {{\left( {\frac{c}{{10}}} \right)}^2}}}$$
Where a = 0.06, b = 0.47 and c = 0.079
$$\eqalign{ & = \frac{{100\left( {{a^2} + {b^2} + {c^2}} \right)}}{{\left( {{a^2} + {b^2} + {c^2}} \right)}} \cr & = 100 \cr} $$