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Finding the Fourth Proportional to 950,866,676.38, 1,311,640,080.43 and 597,883,826.62

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Solution

The fourth proportional to 950,866,676.38, 1,311,640,080.43 and 597,883,826.62 is: 824,730,122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,866,676.38 : 1,311,640,080.43 = 597,883,826.62 : x
  2. Step 2: Convert to fraction form
    950,866,676.38/1,311,640,080.43 = 597,883,826.62/x
  3. Step 3: Cross multiply
    950,866,676.38x = 1,311,640,080.43 × 597,883,826.62
  4. Step 4: Simplify right side
    950,866,676.38x = 784,208,390,426,105,344
  5. Step 5: Solve for x
    x = 784,208,390,426,105,344/950,866,676.38
  6. Step 6: Final answer
    x = 824,730,122.43

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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.