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Finding the Fourth Proportional to 166,640,304.70, 232,722,470.30 and 166,640,304.70

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Solution

The fourth proportional to 166,640,304.70, 232,722,470.30 and 166,640,304.70 is: 232,722,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,640,304.70 : 232,722,470.30 = 166,640,304.70 : x
  2. Step 2: Convert to fraction form
    166,640,304.70/232,722,470.30 = 166,640,304.70/x
  3. Step 3: Cross multiply
    166,640,304.70x = 232,722,470.30 × 166,640,304.70
  4. Step 4: Simplify right side
    166,640,304.70x = 38,780,943,361,328,696
  5. Step 5: Solve for x
    x = 38,780,943,361,328,696/166,640,304.70
  6. Step 6: Final answer
    x = 232,722,470.30

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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.