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Finding the Fourth Proportional to 1,008,040,644,548, 1,512,060,966,822.10 and 1,008,040,644,548

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Solution

The fourth proportional to 1,008,040,644,548, 1,512,060,966,822.10 and 1,008,040,644,548 is: 1,512,060,966,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,040,644,548 : 1,512,060,966,822.10 = 1,008,040,644,548 : x
  2. Step 2: Convert to fraction form
    1,008,040,644,548/1,512,060,966,822.10 = 1,008,040,644,548/x
  3. Step 3: Cross multiply
    1,008,040,644,548x = 1,512,060,966,822.10 × 1,008,040,644,548
  4. Step 4: Simplify right side
    1,008,040,644,548x = 1,524,218,911,591,221,944,123,392
  5. Step 5: Solve for x
    x = 1,524,218,911,591,221,944,123,392/1,008,040,644,548
  6. Step 6: Final answer
    x = 1,512,060,966,822.10

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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.