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Finding the Fourth Proportional to 2,022,978,039.80, 3,034,467,059.70 and 568,955,463.80

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Solution

The fourth proportional to 2,022,978,039.80, 3,034,467,059.70 and 568,955,463.80 is: 853,433,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022,978,039.80 : 3,034,467,059.70 = 568,955,463.80 : x
  2. Step 2: Convert to fraction form
    2,022,978,039.80/3,034,467,059.70 = 568,955,463.80/x
  3. Step 3: Cross multiply
    2,022,978,039.80x = 3,034,467,059.70 × 568,955,463.80
  4. Step 4: Simplify right side
    2,022,978,039.80x = 1,726,476,613,337,435,648
  5. Step 5: Solve for x
    x = 1,726,476,613,337,435,648/2,022,978,039.80
  6. Step 6: Final answer
    x = 853,433,195.70

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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.