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Finding the Fourth Proportional to 532,305,200.80, 798,457,801.20 and 290,440,496.80

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Solution

The fourth proportional to 532,305,200.80, 798,457,801.20 and 290,440,496.80 is: 435,660,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,305,200.80 : 798,457,801.20 = 290,440,496.80 : x
  2. Step 2: Convert to fraction form
    532,305,200.80/798,457,801.20 = 290,440,496.80/x
  3. Step 3: Cross multiply
    532,305,200.80x = 798,457,801.20 × 290,440,496.80
  4. Step 4: Simplify right side
    532,305,200.80x = 231,904,480,454,363,648
  5. Step 5: Solve for x
    x = 231,904,480,454,363,648/532,305,200.80
  6. Step 6: Final answer
    x = 435,660,745.20

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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.