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Finding the Fourth Proportional to 83,909,410,185.60, 125,864,115,278.40 and 83,909,410,185.60

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Solution

The fourth proportional to 83,909,410,185.60, 125,864,115,278.40 and 83,909,410,185.60 is: 125,864,115,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,909,410,185.60 : 125,864,115,278.40 = 83,909,410,185.60 : x
  2. Step 2: Convert to fraction form
    83,909,410,185.60/125,864,115,278.40 = 83,909,410,185.60/x
  3. Step 3: Cross multiply
    83,909,410,185.60x = 125,864,115,278.40 × 83,909,410,185.60
  4. Step 4: Simplify right side
    83,909,410,185.60x = 10,561,183,676,542,910,201,856
  5. Step 5: Solve for x
    x = 10,561,183,676,542,910,201,856/83,909,410,185.60
  6. Step 6: Final answer
    x = 125,864,115,278.40

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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.