Fortunately this exponential decay is very unlikely to continue forever. The present structure of society will not survive a 90% reduction in population. Abundant resources (especially housing) and insufficient humans to run a tight bureaucracy will probably lead back to people having babies for fun again and not coddling them to the extreme detriment of their own lives, and human population will stabilise.
> Abundant resources (especially housing) and insufficient humans to run a tight bureaucracy will probably lead back to people having babies
If well managed I think this is possible. But it's not given. Another scenario is houses in the countryside, small towns and far suburbs getting empty and soon uninhabitable due to lack of maintenance/infrastructure degradation, and remaining people packing close to core areas that remain high cost.