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Finding the Fourth Proportional to 488,932,169.22, 733,471,169.22 and 161,442,274.50

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Solution

The fourth proportional to 488,932,169.22, 733,471,169.22 and 161,442,274.50 is: 242,187,487.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,932,169.22 : 733,471,169.22 = 161,442,274.50 : x
  2. Step 2: Convert to fraction form
    488,932,169.22/733,471,169.22 = 161,442,274.50/x
  3. Step 3: Cross multiply
    488,932,169.22x = 733,471,169.22 × 161,442,274.50
  4. Step 4: Simplify right side
    488,932,169.22x = 118,413,253,839,051,200
  5. Step 5: Solve for x
    x = 118,413,253,839,051,200/488,932,169.22
  6. Step 6: Final answer
    x = 242,187,487.95

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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.