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Finding the Fourth Proportional to 40,947,201,027.90, 57,491,380,847.70 and 40,947,201,027.90

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Solution

The fourth proportional to 40,947,201,027.90, 57,491,380,847.70 and 40,947,201,027.90 is: 57,491,380,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,947,201,027.90 : 57,491,380,847.70 = 40,947,201,027.90 : x
  2. Step 2: Convert to fraction form
    40,947,201,027.90/57,491,380,847.70 = 40,947,201,027.90/x
  3. Step 3: Cross multiply
    40,947,201,027.90x = 57,491,380,847.70 × 40,947,201,027.90
  4. Step 4: Simplify right side
    40,947,201,027.90x = 2,354,111,128,942,331,822,080
  5. Step 5: Solve for x
    x = 2,354,111,128,942,331,822,080/40,947,201,027.90
  6. Step 6: Final answer
    x = 57,491,380,847.70

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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.