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Finding the Fourth Proportional to 591,906,234.60, 830,029,217.40 and 591,906,234.60

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Solution

The fourth proportional to 591,906,234.60, 830,029,217.40 and 591,906,234.60 is: 830,029,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,906,234.60 : 830,029,217.40 = 591,906,234.60 : x
  2. Step 2: Convert to fraction form
    591,906,234.60/830,029,217.40 = 591,906,234.60/x
  3. Step 3: Cross multiply
    591,906,234.60x = 830,029,217.40 × 591,906,234.60
  4. Step 4: Simplify right side
    591,906,234.60x = 491,299,468,679,218,816
  5. Step 5: Solve for x
    x = 491,299,468,679,218,816/591,906,234.60
  6. Step 6: Final answer
    x = 830,029,217.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.