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Finding the Fourth Proportional to 300,531,105.71, 414,722,898.71 and 166,563,313.14

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Solution

The fourth proportional to 300,531,105.71, 414,722,898.71 and 166,563,313.14 is: 229,851,814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,531,105.71 : 414,722,898.71 = 166,563,313.14 : x
  2. Step 2: Convert to fraction form
    300,531,105.71/414,722,898.71 = 166,563,313.14/x
  3. Step 3: Cross multiply
    300,531,105.71x = 414,722,898.71 × 166,563,313.14
  4. Step 4: Simplify right side
    300,531,105.71x = 69,077,620,043,954,024
  5. Step 5: Solve for x
    x = 69,077,620,043,954,024/300,531,105.71
  6. Step 6: Final answer
    x = 229,851,814.78

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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.