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Finding the Fourth Proportional to 419,531,766.72, 578,770,171.80 and 400,081,026

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Solution

The fourth proportional to 419,531,766.72, 578,770,171.80 and 400,081,026 is: 551,936,664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,531,766.72 : 578,770,171.80 = 400,081,026 : x
  2. Step 2: Convert to fraction form
    419,531,766.72/578,770,171.80 = 400,081,026/x
  3. Step 3: Cross multiply
    419,531,766.72x = 578,770,171.80 × 400,081,026
  4. Step 4: Simplify right side
    419,531,766.72x = 231,554,964,151,940,256
  5. Step 5: Solve for x
    x = 231,554,964,151,940,256/419,531,766.72
  6. Step 6: Final answer
    x = 551,936,664.92

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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.