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Finding the Fourth Proportional to 412,472,432.82, 569,200,602.42 and 226,833,447.90

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Solution

The fourth proportional to 412,472,432.82, 569,200,602.42 and 226,833,447.90 is: 313,023,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,472,432.82 : 569,200,602.42 = 226,833,447.90 : x
  2. Step 2: Convert to fraction form
    412,472,432.82/569,200,602.42 = 226,833,447.90/x
  3. Step 3: Cross multiply
    412,472,432.82x = 569,200,602.42 × 226,833,447.90
  4. Step 4: Simplify right side
    412,472,432.82x = 129,113,735,193,685,680
  5. Step 5: Solve for x
    x = 129,113,735,193,685,680/412,472,432.82
  6. Step 6: Final answer
    x = 313,023,913.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.