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Finding the Fourth Proportional to 733,968,019.70, 1,100,952,029.55 and 443,730,374.90

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Solution

The fourth proportional to 733,968,019.70, 1,100,952,029.55 and 443,730,374.90 is: 665,595,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,968,019.70 : 1,100,952,029.55 = 443,730,374.90 : x
  2. Step 2: Convert to fraction form
    733,968,019.70/1,100,952,029.55 = 443,730,374.90/x
  3. Step 3: Cross multiply
    733,968,019.70x = 1,100,952,029.55 × 443,730,374.90
  4. Step 4: Simplify right side
    733,968,019.70x = 488,525,856,819,137,344
  5. Step 5: Solve for x
    x = 488,525,856,819,137,344/733,968,019.70
  6. Step 6: Final answer
    x = 665,595,562.35

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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.