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Finding the Fourth Proportional to 794,741,142.80, 1,193,471,995.80 and 431,944,086.80

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Solution

The fourth proportional to 794,741,142.80, 1,193,471,995.80 and 431,944,086.80 is: 648,655,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,741,142.80 : 1,193,471,995.80 = 431,944,086.80 : x
  2. Step 2: Convert to fraction form
    794,741,142.80/1,193,471,995.80 = 431,944,086.80/x
  3. Step 3: Cross multiply
    794,741,142.80x = 1,193,471,995.80 × 431,944,086.80
  4. Step 4: Simplify right side
    794,741,142.80x = 515,513,171,347,204,416
  5. Step 5: Solve for x
    x = 515,513,171,347,204,416/794,741,142.80
  6. Step 6: Final answer
    x = 648,655,447.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.