Finding the Fourth Proportional to 412,933,255,556.49, 569,822,216,791.83 and 227,524,588,874.02
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Solution
The fourth proportional to 412,933,255,556.49, 569,822,216,791.83 and 227,524,588,874.02 is: 313,969,785,340.06
Step by Step Solution
- Step 1: Write the proportion equation
412,933,255,556.49 : 569,822,216,791.83 = 227,524,588,874.02 : x - Step 2: Convert to fraction form
412,933,255,556.49/569,822,216,791.83 = 227,524,588,874.02/x - Step 3: Cross multiply
412,933,255,556.49x = 569,822,216,791.83 × 227,524,588,874.02 - Step 4: Simplify right side
412,933,255,556.49x = 129,648,565,606,843,800,354,816 - Step 5: Solve for x
x = 129,648,565,606,843,800,354,816/412,933,255,556.49 - Step 6: Final answer
x = 313,969,785,340.06
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.