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Finding the Fourth Proportional to 347,706,795,611.20, 521,560,193,416.80 and 347,706,795,611.20

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Solution

The fourth proportional to 347,706,795,611.20, 521,560,193,416.80 and 347,706,795,611.20 is: 521,560,193,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,706,795,611.20 : 521,560,193,416.80 = 347,706,795,611.20 : x
  2. Step 2: Convert to fraction form
    347,706,795,611.20/521,560,193,416.80 = 347,706,795,611.20/x
  3. Step 3: Cross multiply
    347,706,795,611.20x = 521,560,193,416.80 × 347,706,795,611.20
  4. Step 4: Simplify right side
    347,706,795,611.20x = 181,350,023,571,313,233,231,872
  5. Step 5: Solve for x
    x = 181,350,023,571,313,233,231,872/347,706,795,611.20
  6. Step 6: Final answer
    x = 521,560,193,416.80

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1.5x scale

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.