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Finding the Fourth Proportional to 57,410,080,460.30, 86,115,120,690.45 and 57,410,080,460.30

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Solution

The fourth proportional to 57,410,080,460.30, 86,115,120,690.45 and 57,410,080,460.30 is: 86,115,120,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,410,080,460.30 : 86,115,120,690.45 = 57,410,080,460.30 : x
  2. Step 2: Convert to fraction form
    57,410,080,460.30/86,115,120,690.45 = 57,410,080,460.30/x
  3. Step 3: Cross multiply
    57,410,080,460.30x = 86,115,120,690.45 × 57,410,080,460.30
  4. Step 4: Simplify right side
    57,410,080,460.30x = 4,943,876,007,687,180,255,232
  5. Step 5: Solve for x
    x = 4,943,876,007,687,180,255,232/57,410,080,460.30
  6. Step 6: Final answer
    x = 86,115,120,690.45

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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.