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Finding the Fourth Proportional to 812,469,484.26, 1,121,191,874.19 and 477,978,156.90

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Solution

The fourth proportional to 812,469,484.26, 1,121,191,874.19 and 477,978,156.90 is: 659,600,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,469,484.26 : 1,121,191,874.19 = 477,978,156.90 : x
  2. Step 2: Convert to fraction form
    812,469,484.26/1,121,191,874.19 = 477,978,156.90/x
  3. Step 3: Cross multiply
    812,469,484.26x = 1,121,191,874.19 × 477,978,156.90
  4. Step 4: Simplify right side
    812,469,484.26x = 535,905,225,556,592,896
  5. Step 5: Solve for x
    x = 535,905,225,556,592,896/812,469,484.26
  6. Step 6: Final answer
    x = 659,600,435.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.