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Finding the Fourth Proportional to 502,012,814.85, 753,019,222.28 and 502,012,814.85

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Solution

The fourth proportional to 502,012,814.85, 753,019,222.28 and 502,012,814.85 is: 753,019,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,012,814.85 : 753,019,222.28 = 502,012,814.85 : x
  2. Step 2: Convert to fraction form
    502,012,814.85/753,019,222.28 = 502,012,814.85/x
  3. Step 3: Cross multiply
    502,012,814.85x = 753,019,222.28 × 502,012,814.85
  4. Step 4: Simplify right side
    502,012,814.85x = 378,025,299,410,430,592
  5. Step 5: Solve for x
    x = 378,025,299,410,430,592/502,012,814.85
  6. Step 6: Final answer
    x = 753,019,222.28

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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.