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Finding the Fourth Proportional to 1,093,412,331.12, 1,508,908,042.10 and 617,202,936.40

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Solution

The fourth proportional to 1,093,412,331.12, 1,508,908,042.10 and 617,202,936.40 is: 851,739,501.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093,412,331.12 : 1,508,908,042.10 = 617,202,936.40 : x
  2. Step 2: Convert to fraction form
    1,093,412,331.12/1,508,908,042.10 = 617,202,936.40/x
  3. Step 3: Cross multiply
    1,093,412,331.12x = 1,508,908,042.10 × 617,202,936.40
  4. Step 4: Simplify right side
    1,093,412,331.12x = 931,302,474,341,694,720
  5. Step 5: Solve for x
    x = 931,302,474,341,694,720/1,093,412,331.12
  6. Step 6: Final answer
    x = 851,739,501.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.