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Finding the Fourth Proportional to 1,226,498,065.20, 1,839,747,097.80 and 1,226,498,065.20

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Solution

The fourth proportional to 1,226,498,065.20, 1,839,747,097.80 and 1,226,498,065.20 is: 1,839,747,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,498,065.20 : 1,839,747,097.80 = 1,226,498,065.20 : x
  2. Step 2: Convert to fraction form
    1,226,498,065.20/1,839,747,097.80 = 1,226,498,065.20/x
  3. Step 3: Cross multiply
    1,226,498,065.20x = 1,839,747,097.80 × 1,226,498,065.20
  4. Step 4: Simplify right side
    1,226,498,065.20x = 2,256,446,255,909,015,296
  5. Step 5: Solve for x
    x = 2,256,446,255,909,015,296/1,226,498,065.20
  6. Step 6: Final answer
    x = 1,839,747,097.80

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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.