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Finding the Fourth Proportional to 472,392,404.40, 708,588,606.60 and 397,565,511.60

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Solution

The fourth proportional to 472,392,404.40, 708,588,606.60 and 397,565,511.60 is: 596,348,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,404.40 : 708,588,606.60 = 397,565,511.60 : x
  2. Step 2: Convert to fraction form
    472,392,404.40/708,588,606.60 = 397,565,511.60/x
  3. Step 3: Cross multiply
    472,392,404.40x = 708,588,606.60 × 397,565,511.60
  4. Step 4: Simplify right side
    472,392,404.40x = 281,710,391,896,860,160
  5. Step 5: Solve for x
    x = 281,710,391,896,860,160/472,392,404.40
  6. Step 6: Final answer
    x = 596,348,267.40

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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.