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Finding the Fourth Proportional to 2,753,377,013.40, 3,857,594,363.40 and 2,753,377,013.40

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Solution

The fourth proportional to 2,753,377,013.40, 3,857,594,363.40 and 2,753,377,013.40 is: 3,857,594,363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753,377,013.40 : 3,857,594,363.40 = 2,753,377,013.40 : x
  2. Step 2: Convert to fraction form
    2,753,377,013.40/3,857,594,363.40 = 2,753,377,013.40/x
  3. Step 3: Cross multiply
    2,753,377,013.40x = 3,857,594,363.40 × 2,753,377,013.40
  4. Step 4: Simplify right side
    2,753,377,013.40x = 10,621,411,647,206,967,296
  5. Step 5: Solve for x
    x = 10,621,411,647,206,967,296/2,753,377,013.40
  6. Step 6: Final answer
    x = 3,857,594,363.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.