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Finding the Fourth Proportional to 488,941,010.20, 733,411,515.30 and 294,752,468.80

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Solution

The fourth proportional to 488,941,010.20, 733,411,515.30 and 294,752,468.80 is: 442,128,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,941,010.20 : 733,411,515.30 = 294,752,468.80 : x
  2. Step 2: Convert to fraction form
    488,941,010.20/733,411,515.30 = 294,752,468.80/x
  3. Step 3: Cross multiply
    488,941,010.20x = 733,411,515.30 × 294,752,468.80
  4. Step 4: Simplify right side
    488,941,010.20x = 216,174,854,781,023,968
  5. Step 5: Solve for x
    x = 216,174,854,781,023,968/488,941,010.20
  6. Step 6: Final answer
    x = 442,128,703.20

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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.