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Finding the Fourth Proportional to 339,972,728.40, 509,959,092.60 and 332,414,456.40

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Solution

The fourth proportional to 339,972,728.40, 509,959,092.60 and 332,414,456.40 is: 498,621,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,972,728.40 : 509,959,092.60 = 332,414,456.40 : x
  2. Step 2: Convert to fraction form
    339,972,728.40/509,959,092.60 = 332,414,456.40/x
  3. Step 3: Cross multiply
    339,972,728.40x = 509,959,092.60 × 332,414,456.40
  4. Step 4: Simplify right side
    339,972,728.40x = 169,517,774,552,866,272
  5. Step 5: Solve for x
    x = 169,517,774,552,866,272/339,972,728.40
  6. Step 6: Final answer
    x = 498,621,684.60

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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.