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Finding the Fourth Proportional to 49,772,930,767.60, 74,659,396,151.40 and 49,772,930,767.60

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Solution

The fourth proportional to 49,772,930,767.60, 74,659,396,151.40 and 49,772,930,767.60 is: 74,659,396,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,772,930,767.60 : 74,659,396,151.40 = 49,772,930,767.60 : x
  2. Step 2: Convert to fraction form
    49,772,930,767.60/74,659,396,151.40 = 49,772,930,767.60/x
  3. Step 3: Cross multiply
    49,772,930,767.60x = 74,659,396,151.40 × 49,772,930,767.60
  4. Step 4: Simplify right side
    49,772,930,767.60x = 3,716,016,955,794,453,430,272
  5. Step 5: Solve for x
    x = 3,716,016,955,794,453,430,272/49,772,930,767.60
  6. Step 6: Final answer
    x = 74,659,396,151.40

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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.