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Finding the Fourth Proportional to 721,822,822.89, 996,089,722.41 and 408,550,310.83

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Solution

The fourth proportional to 721,822,822.89, 996,089,722.41 and 408,550,310.83 is: 563,784,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,822,822.89 : 996,089,722.41 = 408,550,310.83 : x
  2. Step 2: Convert to fraction form
    721,822,822.89/996,089,722.41 = 408,550,310.83/x
  3. Step 3: Cross multiply
    721,822,822.89x = 996,089,722.41 × 408,550,310.83
  4. Step 4: Simplify right side
    721,822,822.89x = 406,952,765,705,173,888
  5. Step 5: Solve for x
    x = 406,952,765,705,173,888/721,822,822.89
  6. Step 6: Final answer
    x = 563,784,841.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.