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Finding the Fourth Proportional to 419,909,765.60, 629,864,648.40 and 377,583,442.40

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Solution

The fourth proportional to 419,909,765.60, 629,864,648.40 and 377,583,442.40 is: 566,375,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,909,765.60 : 629,864,648.40 = 377,583,442.40 : x
  2. Step 2: Convert to fraction form
    419,909,765.60/629,864,648.40 = 377,583,442.40/x
  3. Step 3: Cross multiply
    419,909,765.60x = 629,864,648.40 × 377,583,442.40
  4. Step 4: Simplify right side
    419,909,765.60x = 237,826,462,188,937,632
  5. Step 5: Solve for x
    x = 237,826,462,188,937,632/419,909,765.60
  6. Step 6: Final answer
    x = 566,375,163.60

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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.