Late August 2005, Hurricane Katrina the most destructive natural disaster to hit the United States affected Louisiana, Florida, Texas and Mississippi. Economic estimates came in around 105 BILLION just for repairs and reconstruction. What about the cost to the people trapped, no food, medication, drinking water or HELP. How did people in New Orleans survive the COSTLIEST Natural Disaster in U.S. History. ABC News, David Muir reports 10 Years after Hurricane Katrina.