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Finding the Fourth Proportional to 502,019,997.35, 753,029,996.03 and 502,019,997.35

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Solution

The fourth proportional to 502,019,997.35, 753,029,996.03 and 502,019,997.35 is: 753,029,996.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,019,997.35 : 753,029,996.03 = 502,019,997.35 : x
  2. Step 2: Convert to fraction form
    502,019,997.35/753,029,996.03 = 502,019,997.35/x
  3. Step 3: Cross multiply
    502,019,997.35x = 753,029,996.03 × 502,019,997.35
  4. Step 4: Simplify right side
    502,019,997.35x = 378,036,116,608,940,992
  5. Step 5: Solve for x
    x = 378,036,116,608,940,992/502,019,997.35
  6. Step 6: Final answer
    x = 753,029,996.03

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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.