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Finding the Fourth Proportional to 478,904,801.20, 718,357,201.80 and 478,904,801.20

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Solution

The fourth proportional to 478,904,801.20, 718,357,201.80 and 478,904,801.20 is: 718,357,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,904,801.20 : 718,357,201.80 = 478,904,801.20 : x
  2. Step 2: Convert to fraction form
    478,904,801.20/718,357,201.80 = 478,904,801.20/x
  3. Step 3: Cross multiply
    478,904,801.20x = 718,357,201.80 × 478,904,801.20
  4. Step 4: Simplify right side
    478,904,801.20x = 344,024,712,918,617,280
  5. Step 5: Solve for x
    x = 344,024,712,918,617,280/478,904,801.20
  6. Step 6: Final answer
    x = 718,357,201.80

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Why These Related Problems?

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