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Finding the Fourth Proportional to 472,394,406.80, 708,591,610.20 and 242,811,894.80

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Solution

The fourth proportional to 472,394,406.80, 708,591,610.20 and 242,811,894.80 is: 364,217,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,394,406.80 : 708,591,610.20 = 242,811,894.80 : x
  2. Step 2: Convert to fraction form
    472,394,406.80/708,591,610.20 = 242,811,894.80/x
  3. Step 3: Cross multiply
    472,394,406.80x = 708,591,610.20 × 242,811,894.80
  4. Step 4: Simplify right side
    472,394,406.80x = 172,054,471,512,045,024
  5. Step 5: Solve for x
    x = 172,054,471,512,045,024/472,394,406.80
  6. Step 6: Final answer
    x = 364,217,842.20

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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.