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Finding the Fourth Proportional to 513,155,241.90, 708,257,112.03 and 304,427,241.90

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Solution

The fourth proportional to 513,155,241.90, 708,257,112.03 and 304,427,241.90 is: 420,170,625.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,155,241.90 : 708,257,112.03 = 304,427,241.90 : x
  2. Step 2: Convert to fraction form
    513,155,241.90/708,257,112.03 = 304,427,241.90/x
  3. Step 3: Cross multiply
    513,155,241.90x = 708,257,112.03 × 304,427,241.90
  4. Step 4: Simplify right side
    513,155,241.90x = 215,612,759,171,352,192
  5. Step 5: Solve for x
    x = 215,612,759,171,352,192/513,155,241.90
  6. Step 6: Final answer
    x = 420,170,625.90

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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.