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Finding the Fourth Proportional to 57,765,196,980.20, 86,647,795,470.30 and 57,765,196,980.20

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Solution

The fourth proportional to 57,765,196,980.20, 86,647,795,470.30 and 57,765,196,980.20 is: 86,647,795,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,765,196,980.20 : 86,647,795,470.30 = 57,765,196,980.20 : x
  2. Step 2: Convert to fraction form
    57,765,196,980.20/86,647,795,470.30 = 57,765,196,980.20/x
  3. Step 3: Cross multiply
    57,765,196,980.20x = 86,647,795,470.30 × 57,765,196,980.20
  4. Step 4: Simplify right side
    57,765,196,980.20x = 5,005,226,973,241,961,086,976
  5. Step 5: Solve for x
    x = 5,005,226,973,241,961,086,976/57,765,196,980.20
  6. Step 6: Final answer
    x = 86,647,795,470.30

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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.