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Finding the Fourth Proportional to 569,664,064.80, 854,496,097.20 and 378,187,840.80

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Solution

The fourth proportional to 569,664,064.80, 854,496,097.20 and 378,187,840.80 is: 567,281,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,664,064.80 : 854,496,097.20 = 378,187,840.80 : x
  2. Step 2: Convert to fraction form
    569,664,064.80/854,496,097.20 = 378,187,840.80/x
  3. Step 3: Cross multiply
    569,664,064.80x = 854,496,097.20 × 378,187,840.80
  4. Step 4: Simplify right side
    569,664,064.80x = 323,160,033,972,094,976
  5. Step 5: Solve for x
    x = 323,160,033,972,094,976/569,664,064.80
  6. Step 6: Final answer
    x = 567,281,761.20

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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.