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Finding the Fourth Proportional to 110,388,216,666.15, 165,582,324,999.22 and 110,388,216,666.15

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Solution

The fourth proportional to 110,388,216,666.15, 165,582,324,999.22 and 110,388,216,666.15 is: 165,582,324,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,388,216,666.15 : 165,582,324,999.22 = 110,388,216,666.15 : x
  2. Step 2: Convert to fraction form
    110,388,216,666.15/165,582,324,999.22 = 110,388,216,666.15/x
  3. Step 3: Cross multiply
    110,388,216,666.15x = 165,582,324,999.22 × 110,388,216,666.15
  4. Step 4: Simplify right side
    110,388,216,666.15x = 18,278,337,568,098,763,145,216
  5. Step 5: Solve for x
    x = 18,278,337,568,098,763,145,216/110,388,216,666.15
  6. Step 6: Final answer
    x = 165,582,324,999.22

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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.