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Finding the Fourth Proportional to 569,664,549.80, 854,496,824.70 and 378,188,325.80

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Solution

The fourth proportional to 569,664,549.80, 854,496,824.70 and 378,188,325.80 is: 567,282,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,664,549.80 : 854,496,824.70 = 378,188,325.80 : x
  2. Step 2: Convert to fraction form
    569,664,549.80/854,496,824.70 = 378,188,325.80/x
  3. Step 3: Cross multiply
    569,664,549.80x = 854,496,824.70 × 378,188,325.80
  4. Step 4: Simplify right side
    569,664,549.80x = 323,160,723,534,709,120
  5. Step 5: Solve for x
    x = 323,160,723,534,709,120/569,664,549.80
  6. Step 6: Final answer
    x = 567,282,488.70

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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.