Identify the conversion factors necessary to convert the following imperial units to metric units: in² to dm².

$i{n}^2\times {\left(\frac{2.54cm}{1in}\right)}^2\times {\left(\frac{{10}^{-2}m}{1cm}\right)}^2$

$i{n}^2\times {\left(\frac{2.54cm}{1in}\right)}^2\times {\left(\frac{{10}^{-2}m}{1cm}\right)}^2\times {\left(\frac{1dm}{{10}^{-1}m}\right)}^2$

$i{n}^2\times {\left(\frac{2.54cm}{1in}\right)}^2\times {\left(\frac{{10}^{-2}m}{1cm}\right)}^2\times {\left(\frac{{10}^{-1}dm}{1m}\right)}^2$

$i{n}^2\times {\left(\frac{1cm}{2.54in}\right)}^2\times {\left(\frac{{10}^{-2}m}{1cm}\right)}^2\times {\left(\frac{{10}^{-1}dm}{1^{}m}\right)}^2$