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Finding the Fourth Proportional to 1,008,040,645,114, 1,512,060,967,671.10 and 1,008,040,645,114

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Solution

The fourth proportional to 1,008,040,645,114, 1,512,060,967,671.10 and 1,008,040,645,114 is: 1,512,060,967,671.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,040,645,114 : 1,512,060,967,671.10 = 1,008,040,645,114 : x
  2. Step 2: Convert to fraction form
    1,008,040,645,114/1,512,060,967,671.10 = 1,008,040,645,114/x
  3. Step 3: Cross multiply
    1,008,040,645,114x = 1,512,060,967,671.10 × 1,008,040,645,114
  4. Step 4: Simplify right side
    1,008,040,645,114x = 1,524,218,913,302,874,859,503,616
  5. Step 5: Solve for x
    x = 1,524,218,913,302,874,859,503,616/1,008,040,645,114
  6. Step 6: Final answer
    x = 1,512,060,967,671.10

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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.