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Finding the Fourth Proportional to 2,049,588,593.40, 3,074,382,890.10 and 2,049,588,593.40

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Solution

The fourth proportional to 2,049,588,593.40, 3,074,382,890.10 and 2,049,588,593.40 is: 3,074,382,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,588,593.40 : 3,074,382,890.10 = 2,049,588,593.40 : x
  2. Step 2: Convert to fraction form
    2,049,588,593.40/3,074,382,890.10 = 2,049,588,593.40/x
  3. Step 3: Cross multiply
    2,049,588,593.40x = 3,074,382,890.10 × 2,049,588,593.40
  4. Step 4: Simplify right side
    2,049,588,593.40x = 6,301,220,103,293,085,696
  5. Step 5: Solve for x
    x = 6,301,220,103,293,085,696/2,049,588,593.40
  6. Step 6: Final answer
    x = 3,074,382,890.10

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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.