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To exchange properties between objects you may use native CorelDRAW tools like Eyedroper Tool and Paintbucket Tool with selected "Object Attributes" instead of "Sample Color". But this tools are not convenient to work with multiple shapes at once, so work with them is very slow.
My recommendation is to use VBA macros to copy and paste properties like width, height, rotation, positonX, positonY, fills, or even effects. This may be done separate for each or for all of properties. You may exchange properties for many shapes at once. Moreover you may copy and paste properties automatically for tons of instances of propertiary named shapes at multiple pages, with one command!
I prepared example videos about using this macros at this blog:
Copy and Paste properties between objects - the simplest way!
And here is full documentation article for this macros: