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Finding the Fourth Proportional to 559,872,917.20, 839,809,375.80 and 414,754,094.80

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Solution

The fourth proportional to 559,872,917.20, 839,809,375.80 and 414,754,094.80 is: 622,131,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,917.20 : 839,809,375.80 = 414,754,094.80 : x
  2. Step 2: Convert to fraction form
    559,872,917.20/839,809,375.80 = 414,754,094.80/x
  3. Step 3: Cross multiply
    559,872,917.20x = 839,809,375.80 × 414,754,094.80
  4. Step 4: Simplify right side
    559,872,917.20x = 348,314,377,464,482,048
  5. Step 5: Solve for x
    x = 348,314,377,464,482,048/559,872,917.20
  6. Step 6: Final answer
    x = 622,131,142.20

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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.