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Finding the Fourth Proportional to 403,214,253,997.80, 604,821,380,996.67 and 403,214,253,997.80

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Solution

The fourth proportional to 403,214,253,997.80, 604,821,380,996.67 and 403,214,253,997.80 is: 604,821,380,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,214,253,997.80 : 604,821,380,996.67 = 403,214,253,997.80 : x
  2. Step 2: Convert to fraction form
    403,214,253,997.80/604,821,380,996.67 = 403,214,253,997.80/x
  3. Step 3: Cross multiply
    403,214,253,997.80x = 604,821,380,996.67 × 403,214,253,997.80
  4. Step 4: Simplify right side
    403,214,253,997.80x = 243,872,601,940,491,461,722,112
  5. Step 5: Solve for x
    x = 243,872,601,940,491,461,722,112/403,214,253,997.80
  6. Step 6: Final answer
    x = 604,821,380,996.67

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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.