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Finding the Fourth Proportional to 166,640,047.20, 232,722,109.80 and 166,640,047.20

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Solution

The fourth proportional to 166,640,047.20, 232,722,109.80 and 166,640,047.20 is: 232,722,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,640,047.20 : 232,722,109.80 = 166,640,047.20 : x
  2. Step 2: Convert to fraction form
    166,640,047.20/232,722,109.80 = 166,640,047.20/x
  3. Step 3: Cross multiply
    166,640,047.20x = 232,722,109.80 × 166,640,047.20
  4. Step 4: Simplify right side
    166,640,047.20x = 38,780,823,361,555,584
  5. Step 5: Solve for x
    x = 38,780,823,361,555,584/166,640,047.20
  6. Step 6: Final answer
    x = 232,722,109.80

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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.