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Finding the Fourth Proportional to 400,408,047.30, 561,377,481.90 and 400,408,047.30

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Solution

The fourth proportional to 400,408,047.30, 561,377,481.90 and 400,408,047.30 is: 561,377,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,408,047.30 : 561,377,481.90 = 400,408,047.30 : x
  2. Step 2: Convert to fraction form
    400,408,047.30/561,377,481.90 = 400,408,047.30/x
  3. Step 3: Cross multiply
    400,408,047.30x = 561,377,481.90 × 400,408,047.30
  4. Step 4: Simplify right side
    400,408,047.30x = 224,780,061,325,770,080
  5. Step 5: Solve for x
    x = 224,780,061,325,770,080/400,408,047.30
  6. Step 6: Final answer
    x = 561,377,481.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.