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Finding the Fourth Proportional to 185,783,958.80, 278,591,957.40 and 83,495,344.40

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Solution

The fourth proportional to 185,783,958.80, 278,591,957.40 and 83,495,344.40 is: 125,205,273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,783,958.80 : 278,591,957.40 = 83,495,344.40 : x
  2. Step 2: Convert to fraction form
    185,783,958.80/278,591,957.40 = 83,495,344.40/x
  3. Step 3: Cross multiply
    185,783,958.80x = 278,591,957.40 × 83,495,344.40
  4. Step 4: Simplify right side
    185,783,958.80x = 23,261,131,430,183,128
  5. Step 5: Solve for x
    x = 23,261,131,430,183,128/185,783,958.80
  6. Step 6: Final answer
    x = 125,205,273.81

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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.