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Finding the Fourth Proportional to 664,443,003.83, 996,664,505.74 and 664,443,003.83

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Solution

The fourth proportional to 664,443,003.83, 996,664,505.74 and 664,443,003.83 is: 996,664,505.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,443,003.83 : 996,664,505.74 = 664,443,003.83 : x
  2. Step 2: Convert to fraction form
    664,443,003.83/996,664,505.74 = 664,443,003.83/x
  3. Step 3: Cross multiply
    664,443,003.83x = 996,664,505.74 × 664,443,003.83
  4. Step 4: Simplify right side
    664,443,003.83x = 662,226,757,997,983,488
  5. Step 5: Solve for x
    x = 662,226,757,997,983,488/664,443,003.83
  6. Step 6: Final answer
    x = 996,664,505.74

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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.