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Finding the Fourth Proportional to 598,063,234.80, 897,262,813.80 and 291,365,353.20

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Solution

The fourth proportional to 598,063,234.80, 897,262,813.80 and 291,365,353.20 is: 437,129,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,063,234.80 : 897,262,813.80 = 291,365,353.20 : x
  2. Step 2: Convert to fraction form
    598,063,234.80/897,262,813.80 = 291,365,353.20/x
  3. Step 3: Cross multiply
    598,063,234.80x = 897,262,813.80 × 291,365,353.20
  4. Step 4: Simplify right side
    598,063,234.80x = 261,431,296,656,062,816
  5. Step 5: Solve for x
    x = 261,431,296,656,062,816/598,063,234.80
  6. Step 6: Final answer
    x = 437,129,857.59

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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.