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Finding the Fourth Proportional to 299,991,661.56, 413,985,443.31 and 166,029,841.62

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Solution

The fourth proportional to 299,991,661.56, 413,985,443.31 and 166,029,841.62 is: 229,119,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,991,661.56 : 413,985,443.31 = 166,029,841.62 : x
  2. Step 2: Convert to fraction form
    299,991,661.56/413,985,443.31 = 166,029,841.62/x
  3. Step 3: Cross multiply
    299,991,661.56x = 413,985,443.31 × 166,029,841.62
  4. Step 4: Simplify right side
    299,991,661.56x = 68,733,937,585,744,792
  5. Step 5: Solve for x
    x = 68,733,937,585,744,792/299,991,661.56
  6. Step 6: Final answer
    x = 229,119,493.62

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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.