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Finding the Fourth Proportional to 57,406,385,216.80, 86,109,577,825.20 and 57,406,385,216.80

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Solution

The fourth proportional to 57,406,385,216.80, 86,109,577,825.20 and 57,406,385,216.80 is: 86,109,577,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,406,385,216.80 : 86,109,577,825.20 = 57,406,385,216.80 : x
  2. Step 2: Convert to fraction form
    57,406,385,216.80/86,109,577,825.20 = 57,406,385,216.80/x
  3. Step 3: Cross multiply
    57,406,385,216.80x = 86,109,577,825.20 × 57,406,385,216.80
  4. Step 4: Simplify right side
    57,406,385,216.80x = 4,943,239,595,489,450,000,384
  5. Step 5: Solve for x
    x = 4,943,239,595,489,450,000,384/57,406,385,216.80
  6. Step 6: Final answer
    x = 86,109,577,825.20

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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.