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Finding the Fourth Proportional to 436,747,954,761.70, 655,121,932,142.55 and 436,747,954,761.70

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Solution

The fourth proportional to 436,747,954,761.70, 655,121,932,142.55 and 436,747,954,761.70 is: 655,121,932,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,747,954,761.70 : 655,121,932,142.55 = 436,747,954,761.70 : x
  2. Step 2: Convert to fraction form
    436,747,954,761.70/655,121,932,142.55 = 436,747,954,761.70/x
  3. Step 3: Cross multiply
    436,747,954,761.70x = 655,121,932,142.55 × 436,747,954,761.70
  4. Step 4: Simplify right side
    436,747,954,761.70x = 286,123,163,982,791,962,525,696
  5. Step 5: Solve for x
    x = 286,123,163,982,791,962,525,696/436,747,954,761.70
  6. Step 6: Final answer
    x = 655,121,932,142.55

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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.