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Finding the Fourth Proportional to 422,291,427, 632,612,496.66 and 200,647,347.84

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Solution

The fourth proportional to 422,291,427, 632,612,496.66 and 200,647,347.84 is: 300,579,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,291,427 : 632,612,496.66 = 200,647,347.84 : x
  2. Step 2: Convert to fraction form
    422,291,427/632,612,496.66 = 200,647,347.84/x
  3. Step 3: Cross multiply
    422,291,427x = 632,612,496.66 × 200,647,347.84
  4. Step 4: Simplify right side
    422,291,427x = 126,932,019,665,269,856
  5. Step 5: Solve for x
    x = 126,932,019,665,269,856/422,291,427
  6. Step 6: Final answer
    x = 300,579,200.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.