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Finding the Fourth Proportional to 492,678,462.56, 739,272,446.53 and 216,523,446.57

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Solution

The fourth proportional to 492,678,462.56, 739,272,446.53 and 216,523,446.57 is: 324,897,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,678,462.56 : 739,272,446.53 = 216,523,446.57 : x
  2. Step 2: Convert to fraction form
    492,678,462.56/739,272,446.53 = 216,523,446.57/x
  3. Step 3: Cross multiply
    492,678,462.56x = 739,272,446.53 × 216,523,446.57
  4. Step 4: Simplify right side
    492,678,462.56x = 160,069,818,076,370,336
  5. Step 5: Solve for x
    x = 160,069,818,076,370,336/492,678,462.56
  6. Step 6: Final answer
    x = 324,897,129.15

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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.