It is not a even a valid equation since "rate" is not a well-defined term. Rate is simply the average change in something per unit of time. If properly defined, it is an equivalence relationship.
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Any fraction divided by an equivalent fraction will always equal one.Any fraction divided by an equivalent fraction will always equal one.Any fraction divided by an equivalent fraction will always equal one.Any fraction divided by an equivalent fraction will always equal one.
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An equation if both expressions are equal
Yes.
Actually it is the change in the equilibrium expenditure divided by the change in autonomous expenditure. That will equal the expenditure multiplier.