Cloud, fog, and edge computing paradigms are revolutionizing healthcare by improving real-time/on-demand data storage/processing/analytics, enabling effective, efficient, and affordable health services. Cloud computing offers a scalable infrastructure for telemedicine, artificial intelligence-based diagnosis, e-health, and storing/archiving huge health data. Fog computing and edge computing solve the problems of latency and bandwidth that sometimes arise with cloud solutions by data processing near the source. Fog computing processes data locally and in a decentralized manner at intermediate nodes; applications such as predictive analytics and remote patient monitoring benefit from quicker response times. Edge computing increases efficiency by performing real-time processing directly on medical devices, ensuring faster decision-making in critical healthcare situations. These technologies maximize healthcare delivery, enhance data security, and promote seamless interoperability. This paper highlights how cloud, fog, and edge computing technologies enhance emergency care systems, personalized therapies, and medical research while examining the fundamental concepts, advantages, and challenges of these technologies in the healthcare industry.