Final answer:
The primary ritual responsibilities of Great Zimbabwe's rulers were to maintain order, secure blessings from Gods, and oversee major construction projects.
Step-by-step explanation:
The primary ritual responsibilities of Great Zimbabwe's rulers were to maintain order in society and ensure the success of agricultural harvests and military campaigns. The king played a crucial role in performing rituals to communicate with the Gods and secure their blessings for the people. Additionally, the king oversaw the construction of major infrastructure projects, such as the building of pyramids, which demonstrated their power and authority.