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Finding the Fourth Proportional to 43,687,512,007.70, 65,531,268,012.15 and 43,687,512,007.70

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Solution

The fourth proportional to 43,687,512,007.70, 65,531,268,012.15 and 43,687,512,007.70 is: 65,531,268,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,687,512,007.70 : 65,531,268,012.15 = 43,687,512,007.70 : x
  2. Step 2: Convert to fraction form
    43,687,512,007.70/65,531,268,012.15 = 43,687,512,007.70/x
  3. Step 3: Cross multiply
    43,687,512,007.70x = 65,531,268,012.15 × 43,687,512,007.70
  4. Step 4: Simplify right side
    43,687,512,007.70x = 2,862,898,058,160,609,689,600
  5. Step 5: Solve for x
    x = 2,862,898,058,160,609,689,600/43,687,512,007.70
  6. Step 6: Final answer
    x = 65,531,268,012.15

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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.