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Finding the Fourth Proportional to 1,008,040,645,066, 1,512,060,967,599 and 1,008,040,645,066

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Solution

The fourth proportional to 1,008,040,645,066, 1,512,060,967,599 and 1,008,040,645,066 is: 1,512,060,967,599

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,040,645,066 : 1,512,060,967,599 = 1,008,040,645,066 : x
  2. Step 2: Convert to fraction form
    1,008,040,645,066/1,512,060,967,599 = 1,008,040,645,066/x
  3. Step 3: Cross multiply
    1,008,040,645,066x = 1,512,060,967,599 × 1,008,040,645,066
  4. Step 4: Simplify right side
    1,008,040,645,066x = 1,524,218,913,157,616,112,762,880
  5. Step 5: Solve for x
    x = 1,524,218,913,157,616,112,762,880/1,008,040,645,066
  6. Step 6: Final answer
    x = 1,512,060,967,599

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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.