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Finding the Fourth Proportional to 110,010,474,711.45, 165,015,712,067.17 and 110,010,474,711.45

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Solution

The fourth proportional to 110,010,474,711.45, 165,015,712,067.17 and 110,010,474,711.45 is: 165,015,712,067.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,010,474,711.45 : 165,015,712,067.17 = 110,010,474,711.45 : x
  2. Step 2: Convert to fraction form
    110,010,474,711.45/165,015,712,067.17 = 110,010,474,711.45/x
  3. Step 3: Cross multiply
    110,010,474,711.45x = 165,015,712,067.17 × 110,010,474,711.45
  4. Step 4: Simplify right side
    110,010,474,711.45x = 18,153,456,819,357,320,478,720
  5. Step 5: Solve for x
    x = 18,153,456,819,357,320,478,720/110,010,474,711.45
  6. Step 6: Final answer
    x = 165,015,712,067.17

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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.