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Finding the Fourth Proportional to 1,008,040,645,067.30, 1,512,060,967,601 and 1,008,040,645,067.30

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Solution

The fourth proportional to 1,008,040,645,067.30, 1,512,060,967,601 and 1,008,040,645,067.30 is: 1,512,060,967,601

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,040,645,067.30 : 1,512,060,967,601 = 1,008,040,645,067.30 : x
  2. Step 2: Convert to fraction form
    1,008,040,645,067.30/1,512,060,967,601 = 1,008,040,645,067.30/x
  3. Step 3: Cross multiply
    1,008,040,645,067.30x = 1,512,060,967,601 × 1,008,040,645,067.30
  4. Step 4: Simplify right side
    1,008,040,645,067.30x = 1,524,218,913,161,597,815,881,728
  5. Step 5: Solve for x
    x = 1,524,218,913,161,597,815,881,728/1,008,040,645,067.30
  6. Step 6: Final answer
    x = 1,512,060,967,601

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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.