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Finding the Fourth Proportional to 439,626,679,879.80, 659,440,019,819.70 and 439,626,679,879.80

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Solution

The fourth proportional to 439,626,679,879.80, 659,440,019,819.70 and 439,626,679,879.80 is: 659,440,019,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,626,679,879.80 : 659,440,019,819.70 = 439,626,679,879.80 : x
  2. Step 2: Convert to fraction form
    439,626,679,879.80/659,440,019,819.70 = 439,626,679,879.80/x
  3. Step 3: Cross multiply
    439,626,679,879.80x = 659,440,019,819.70 × 439,626,679,879.80
  4. Step 4: Simplify right side
    439,626,679,879.80x = 289,907,426,493,204,176,830,464
  5. Step 5: Solve for x
    x = 289,907,426,493,204,176,830,464/439,626,679,879.80
  6. Step 6: Final answer
    x = 659,440,019,819.70

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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.