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Finding the Fourth Proportional to 2,613,944,511.30, 3,668,705,616.30 and 2,613,944,511.30

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Solution

The fourth proportional to 2,613,944,511.30, 3,668,705,616.30 and 2,613,944,511.30 is: 3,668,705,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613,944,511.30 : 3,668,705,616.30 = 2,613,944,511.30 : x
  2. Step 2: Convert to fraction form
    2,613,944,511.30/3,668,705,616.30 = 2,613,944,511.30/x
  3. Step 3: Cross multiply
    2,613,944,511.30x = 3,668,705,616.30 × 2,613,944,511.30
  4. Step 4: Simplify right side
    2,613,944,511.30x = 9,589,792,909,302,870,016
  5. Step 5: Solve for x
    x = 9,589,792,909,302,870,016/2,613,944,511.30
  6. Step 6: Final answer
    x = 3,668,705,616.30

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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.