Brake pads from new dual pivot calipers dont reach the rim in the rear wheel
What you really need is brakes with longer reach. Reach is the measurement from mounting hole to rim, you can measure it with a measurement tape and it is listed for most of rim brakes.

If you absolutely want to install these brakes no matter the cost or reliability, there exists a component called drop bolt. These used to be more common in days of classic steel frames and single pivot brakes, but NOS parts are still available. I would recommend disassembling your brake and verifying its mounting bolt is compatible before buying anything.