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Finding the Fourth Proportional to 233,843,083.20, 327,917,793.60 and 233,843,083.20

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Solution

The fourth proportional to 233,843,083.20, 327,917,793.60 and 233,843,083.20 is: 327,917,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,843,083.20 : 327,917,793.60 = 233,843,083.20 : x
  2. Step 2: Convert to fraction form
    233,843,083.20/327,917,793.60 = 233,843,083.20/x
  3. Step 3: Cross multiply
    233,843,083.20x = 327,917,793.60 × 233,843,083.20
  4. Step 4: Simplify right side
    233,843,083.20x = 76,681,307,891,565,232
  5. Step 5: Solve for x
    x = 76,681,307,891,565,232/233,843,083.20
  6. Step 6: Final answer
    x = 327,917,793.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.