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Finding the Fourth Proportional to 48,738,388,775.20, 72,991,357,016.10 and 48,738,388,775.20

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Solution

The fourth proportional to 48,738,388,775.20, 72,991,357,016.10 and 48,738,388,775.20 is: 72,991,357,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,738,388,775.20 : 72,991,357,016.10 = 48,738,388,775.20 : x
  2. Step 2: Convert to fraction form
    48,738,388,775.20/72,991,357,016.10 = 48,738,388,775.20/x
  3. Step 3: Cross multiply
    48,738,388,775.20x = 72,991,357,016.10 × 48,738,388,775.20
  4. Step 4: Simplify right side
    48,738,388,775.20x = 3,557,481,135,480,104,288,256
  5. Step 5: Solve for x
    x = 3,557,481,135,480,104,288,256/48,738,388,775.20
  6. Step 6: Final answer
    x = 72,991,357,016.10

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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.