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Finding the Fourth Proportional to 398,771,842.80, 559,086,795.60 and 398,771,842.80

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Solution

The fourth proportional to 398,771,842.80, 559,086,795.60 and 398,771,842.80 is: 559,086,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,771,842.80 : 559,086,795.60 = 398,771,842.80 : x
  2. Step 2: Convert to fraction form
    398,771,842.80/559,086,795.60 = 398,771,842.80/x
  3. Step 3: Cross multiply
    398,771,842.80x = 559,086,795.60 × 398,771,842.80
  4. Step 4: Simplify right side
    398,771,842.80x = 222,948,071,766,558,944
  5. Step 5: Solve for x
    x = 222,948,071,766,558,944/398,771,842.80
  6. Step 6: Final answer
    x = 559,086,795.60

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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.