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Finding the Fourth Proportional to 307,886,414, 424,542,781.59 and 196,200,333.50

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Solution

The fourth proportional to 307,886,414, 424,542,781.59 and 196,200,333.50 is: 270,539,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,886,414 : 424,542,781.59 = 196,200,333.50 : x
  2. Step 2: Convert to fraction form
    307,886,414/424,542,781.59 = 196,200,333.50/x
  3. Step 3: Cross multiply
    307,886,414x = 424,542,781.59 × 196,200,333.50
  4. Step 4: Simplify right side
    307,886,414x = 83,295,435,332,975,648
  5. Step 5: Solve for x
    x = 83,295,435,332,975,648/307,886,414
  6. Step 6: Final answer
    x = 270,539,496.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.