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Finding the Fourth Proportional to 165,888,372.80, 231,706,244.80 and 165,888,372.80

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Solution

The fourth proportional to 165,888,372.80, 231,706,244.80 and 165,888,372.80 is: 231,706,244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,888,372.80 : 231,706,244.80 = 165,888,372.80 : x
  2. Step 2: Convert to fraction form
    165,888,372.80/231,706,244.80 = 165,888,372.80/x
  3. Step 3: Cross multiply
    165,888,372.80x = 231,706,244.80 × 165,888,372.80
  4. Step 4: Simplify right side
    165,888,372.80x = 38,437,371,917,470,464
  5. Step 5: Solve for x
    x = 38,437,371,917,470,464/165,888,372.80
  6. Step 6: Final answer
    x = 231,706,244.80

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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.