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Finding the Fourth Proportional to 1,769,904,908.10, 2,473,275,221.10 and 1,769,904,908.10

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Solution

The fourth proportional to 1,769,904,908.10, 2,473,275,221.10 and 1,769,904,908.10 is: 2,473,275,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,904,908.10 : 2,473,275,221.10 = 1,769,904,908.10 : x
  2. Step 2: Convert to fraction form
    1,769,904,908.10/2,473,275,221.10 = 1,769,904,908.10/x
  3. Step 3: Cross multiply
    1,769,904,908.10x = 2,473,275,221.10 × 1,769,904,908.10
  4. Step 4: Simplify right side
    1,769,904,908.10x = 4,377,461,952,907,002,368
  5. Step 5: Solve for x
    x = 4,377,461,952,907,002,368/1,769,904,908.10
  6. Step 6: Final answer
    x = 2,473,275,221.10

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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.