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Finding the Fourth Proportional to 422,291,400.28, 632,612,456.54 and 200,647,321.03

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Solution

The fourth proportional to 422,291,400.28, 632,612,456.54 and 200,647,321.03 is: 300,579,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,291,400.28 : 632,612,456.54 = 200,647,321.03 : x
  2. Step 2: Convert to fraction form
    422,291,400.28/632,612,456.54 = 200,647,321.03/x
  3. Step 3: Cross multiply
    422,291,400.28x = 632,612,456.54 × 200,647,321.03
  4. Step 4: Simplify right side
    422,291,400.28x = 126,931,994,653,955,056
  5. Step 5: Solve for x
    x = 126,931,994,653,955,056/422,291,400.28
  6. Step 6: Final answer
    x = 300,579,160.67

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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.