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Finding the Fourth Proportional to 40,974,343,863.60, 57,518,874,819.60 and 40,974,343,863.60

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Solution

The fourth proportional to 40,974,343,863.60, 57,518,874,819.60 and 40,974,343,863.60 is: 57,518,874,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,974,343,863.60 : 57,518,874,819.60 = 40,974,343,863.60 : x
  2. Step 2: Convert to fraction form
    40,974,343,863.60/57,518,874,819.60 = 40,974,343,863.60/x
  3. Step 3: Cross multiply
    40,974,343,863.60x = 57,518,874,819.60 × 40,974,343,863.60
  4. Step 4: Simplify right side
    40,974,343,863.60x = 2,356,798,155,505,653,776,384
  5. Step 5: Solve for x
    x = 2,356,798,155,505,653,776,384/40,974,343,863.60
  6. Step 6: Final answer
    x = 57,518,874,819.60

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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.