There isn’t a way directly.

I try opening it in the oldest version I have installed, then if it’s too new for that version, the next version and then the next until I can open it.

Resolution for 'back up copy issue: 'How do I determine what version of QuickBooks is being used by the back up copy?' available: Yes.

The back up copy issue or error code is a known issue in Quickbooks Online (QBO) and/or Quickbooks. Support for this issue is available either by self-service or paid support options. Experts are available to resolve your Quickbooks issue to ensure minimal downtime and continue running your business. First try to resolve the back up copy issue yourself by looking for a resolution described in the article. If it is a complex back up copy issue or you are unable to solve the issue, you may contact us by clicking here or by using other back up copy support options.

For more information about resolving issues related to back up copy in Quickbooks/QBO or to get support for the issue 'How do I determine what version of QuickBooks is being used by the back up copy?', click the link below: