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Finding the Fourth Proportional to 472,392,407.20, 708,588,610.80 and 416,909,966.80

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Solution

The fourth proportional to 472,392,407.20, 708,588,610.80 and 416,909,966.80 is: 625,364,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,407.20 : 708,588,610.80 = 416,909,966.80 : x
  2. Step 2: Convert to fraction form
    472,392,407.20/708,588,610.80 = 416,909,966.80/x
  3. Step 3: Cross multiply
    472,392,407.20x = 708,588,610.80 × 416,909,966.80
  4. Step 4: Simplify right side
    472,392,407.20x = 295,417,654,203,486,080
  5. Step 5: Solve for x
    x = 295,417,654,203,486,080/472,392,407.20
  6. Step 6: Final answer
    x = 625,364,950.20

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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.