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Finding the Fourth Proportional to 436,747,000,540.70, 655,120,500,811.06 and 436,747,000,540.70

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Solution

The fourth proportional to 436,747,000,540.70, 655,120,500,811.06 and 436,747,000,540.70 is: 655,120,500,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,747,000,540.70 : 655,120,500,811.06 = 436,747,000,540.70 : x
  2. Step 2: Convert to fraction form
    436,747,000,540.70/655,120,500,811.06 = 436,747,000,540.70/x
  3. Step 3: Cross multiply
    436,747,000,540.70x = 655,120,500,811.06 × 436,747,000,540.70
  4. Step 4: Simplify right side
    436,747,000,540.70x = 286,121,913,721,951,707,201,536
  5. Step 5: Solve for x
    x = 286,121,913,721,951,707,201,536/436,747,000,540.70
  6. Step 6: Final answer
    x = 655,120,500,811.06

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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.