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Finding the Fourth Proportional to 436,752,701,793.46, 655,129,052,690.18 and 436,752,701,793.46

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Solution

The fourth proportional to 436,752,701,793.46, 655,129,052,690.18 and 436,752,701,793.46 is: 655,129,052,690.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,752,701,793.46 : 655,129,052,690.18 = 436,752,701,793.46 : x
  2. Step 2: Convert to fraction form
    436,752,701,793.46/655,129,052,690.18 = 436,752,701,793.46/x
  3. Step 3: Cross multiply
    436,752,701,793.46x = 655,129,052,690.18 × 436,752,701,793.46
  4. Step 4: Simplify right side
    436,752,701,793.46x = 286,129,383,785,826,156,019,712
  5. Step 5: Solve for x
    x = 286,129,383,785,826,156,019,712/436,752,701,793.46
  6. Step 6: Final answer
    x = 655,129,052,690.18

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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.