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Finding the Fourth Proportional to 1,834,893,457.80, 2,752,340,186.71 and 1,834,893,457.80

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Solution

The fourth proportional to 1,834,893,457.80, 2,752,340,186.71 and 1,834,893,457.80 is: 2,752,340,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,893,457.80 : 2,752,340,186.71 = 1,834,893,457.80 : x
  2. Step 2: Convert to fraction form
    1,834,893,457.80/2,752,340,186.71 = 1,834,893,457.80/x
  3. Step 3: Cross multiply
    1,834,893,457.80x = 2,752,340,186.71 × 1,834,893,457.80
  4. Step 4: Simplify right side
    1,834,893,457.80x = 5,050,251,002,229,621,760
  5. Step 5: Solve for x
    x = 5,050,251,002,229,621,760/1,834,893,457.80
  6. Step 6: Final answer
    x = 2,752,340,186.71

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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.