Final answer:
The common order of connections during heart transplant surgery, often referred to as anastomoses in a broad sense, typically follows the sequence of left atrium, right atrium, pulmonary artery, and aorta. This reflects the standard blood flow path in the heart.
Step-by-step explanation:
The question refers to the sequence of anastomoses during a cardiac transplantation. However, the question as phrased appears to be describing the sequence of connections typically made during the surgical procedure itself, not the vascular anastomoses within the coronary circulation. During a heart transplant surgery, the common order of connective sequences is: left atrium, right atrium, pulmonary artery, and aorta, which corresponds to the way blood returns to and is pumped from the heart, first entering through the atria and then being ejected from the ventricles into the arteries.