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Finding the Fourth Proportional to 274,472,152.80, 411,713,149.94 and 99,719,294.50

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Solution

The fourth proportional to 274,472,152.80, 411,713,149.94 and 99,719,294.50 is: 149,580,729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,472,152.80 : 411,713,149.94 = 99,719,294.50 : x
  2. Step 2: Convert to fraction form
    274,472,152.80/411,713,149.94 = 99,719,294.50/x
  3. Step 3: Cross multiply
    274,472,152.80x = 411,713,149.94 × 99,719,294.50
  4. Step 4: Simplify right side
    274,472,152.80x = 41,055,744,849,339,928
  5. Step 5: Solve for x
    x = 41,055,744,849,339,928/274,472,152.80
  6. Step 6: Final answer
    x = 149,580,729.52

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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.