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Finding the Fourth Proportional to 1,008,040,644,562, 1,512,060,966,843 and 1,008,040,644,562

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Solution

The fourth proportional to 1,008,040,644,562, 1,512,060,966,843 and 1,008,040,644,562 is: 1,512,060,966,843

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,040,644,562 : 1,512,060,966,843 = 1,008,040,644,562 : x
  2. Step 2: Convert to fraction form
    1,008,040,644,562/1,512,060,966,843 = 1,008,040,644,562/x
  3. Step 3: Cross multiply
    1,008,040,644,562x = 1,512,060,966,843 × 1,008,040,644,562
  4. Step 4: Simplify right side
    1,008,040,644,562x = 1,524,218,911,633,458,652,512,256
  5. Step 5: Solve for x
    x = 1,524,218,911,633,458,652,512,256/1,008,040,644,562
  6. Step 6: Final answer
    x = 1,512,060,966,843

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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.