If you have some repository for Google Earth, try installing the amd64 version, not the i386 one, like this:
apt-get install google-earth-stable
Either the above, or install ia32-libs with apt-get and after that attempt to reinstall the version of Google Earth you downloaded, with dpkg:
apt-get install ia32-libs
dpkg -i google-earth-stable_current_amd64.deb
I'm also under the impression that multiarch replaces ia32-libs, but some programs might still need them, like Google Earth (ia32-libs is listed as 'oldlibs' for Wheezy and Sid at packages.debian.org).