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Finding the Fourth Proportional to 200,589,344.70, 280,251,126.30 and 200,589,344.70

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Solution

The fourth proportional to 200,589,344.70, 280,251,126.30 and 200,589,344.70 is: 280,251,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,589,344.70 : 280,251,126.30 = 200,589,344.70 : x
  2. Step 2: Convert to fraction form
    200,589,344.70/280,251,126.30 = 200,589,344.70/x
  3. Step 3: Cross multiply
    200,589,344.70x = 280,251,126.30 × 200,589,344.70
  4. Step 4: Simplify right side
    200,589,344.70x = 56,215,389,775,953,936
  5. Step 5: Solve for x
    x = 56,215,389,775,953,936/200,589,344.70
  6. Step 6: Final answer
    x = 280,251,126.30

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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.