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Finding the Fourth Proportional to 1,978,019,729.80, 2,967,029,594.70 and 504,156,689.80

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Solution

The fourth proportional to 1,978,019,729.80, 2,967,029,594.70 and 504,156,689.80 is: 756,235,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978,019,729.80 : 2,967,029,594.70 = 504,156,689.80 : x
  2. Step 2: Convert to fraction form
    1,978,019,729.80/2,967,029,594.70 = 504,156,689.80/x
  3. Step 3: Cross multiply
    1,978,019,729.80x = 2,967,029,594.70 × 504,156,689.80
  4. Step 4: Simplify right side
    1,978,019,729.80x = 1,495,847,819,002,587,648
  5. Step 5: Solve for x
    x = 1,495,847,819,002,587,648/1,978,019,729.80
  6. Step 6: Final answer
    x = 756,235,034.70

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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.