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Finding the Fourth Proportional to 226,041,036, 339,112,098 and 82,433,868

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Solution

The fourth proportional to 226,041,036, 339,112,098 and 82,433,868 is: 123,669,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,041,036 : 339,112,098 = 82,433,868 : x
  2. Step 2: Convert to fraction form
    226,041,036/339,112,098 = 82,433,868/x
  3. Step 3: Cross multiply
    226,041,036x = 339,112,098 × 82,433,868
  4. Step 4: Simplify right side
    226,041,036x = 27,954,321,923,735,064
  5. Step 5: Solve for x
    x = 27,954,321,923,735,064/226,041,036
  6. Step 6: Final answer
    x = 123,669,234.66

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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.