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Finding the Fourth Proportional to 57,765,196,927.20, 86,647,795,390.80 and 57,765,196,927.20

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Solution

The fourth proportional to 57,765,196,927.20, 86,647,795,390.80 and 57,765,196,927.20 is: 86,647,795,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,765,196,927.20 : 86,647,795,390.80 = 57,765,196,927.20 : x
  2. Step 2: Convert to fraction form
    57,765,196,927.20/86,647,795,390.80 = 57,765,196,927.20/x
  3. Step 3: Cross multiply
    57,765,196,927.20x = 86,647,795,390.80 × 57,765,196,927.20
  4. Step 4: Simplify right side
    57,765,196,927.20x = 5,005,226,964,057,294,110,720
  5. Step 5: Solve for x
    x = 5,005,226,964,057,294,110,720/57,765,196,927.20
  6. Step 6: Final answer
    x = 86,647,795,390.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.