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Finding the Fourth Proportional to 232,982,893.60, 349,978,225.20 and 164,958,445.60

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Solution

The fourth proportional to 232,982,893.60, 349,978,225.20 and 164,958,445.60 is: 247,794,433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,982,893.60 : 349,978,225.20 = 164,958,445.60 : x
  2. Step 2: Convert to fraction form
    232,982,893.60/349,978,225.20 = 164,958,445.60/x
  3. Step 3: Cross multiply
    232,982,893.60x = 349,978,225.20 × 164,958,445.60
  4. Step 4: Simplify right side
    232,982,893.60x = 57,731,864,022,838,744
  5. Step 5: Solve for x
    x = 57,731,864,022,838,744/232,982,893.60
  6. Step 6: Final answer
    x = 247,794,433.02

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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.