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Finding the Fourth Proportional to 1,008,039,858,660.50, 1,512,059,787,990.90 and 1,008,039,858,660.50

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Solution

The fourth proportional to 1,008,039,858,660.50, 1,512,059,787,990.90 and 1,008,039,858,660.50 is: 1,512,059,787,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,039,858,660.50 : 1,512,059,787,990.90 = 1,008,039,858,660.50 : x
  2. Step 2: Convert to fraction form
    1,008,039,858,660.50/1,512,059,787,990.90 = 1,008,039,858,660.50/x
  3. Step 3: Cross multiply
    1,008,039,858,660.50x = 1,512,059,787,990.90 × 1,008,039,858,660.50
  4. Step 4: Simplify right side
    1,008,039,858,660.50x = 1,524,216,534,972,572,209,512,448
  5. Step 5: Solve for x
    x = 1,524,216,534,972,572,209,512,448/1,008,039,858,660.50
  6. Step 6: Final answer
    x = 1,512,059,787,990.90

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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.