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Finding the Fourth Proportional to 273,531,304.70, 410,296,957.05 and 82,055,080.70

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Solution

The fourth proportional to 273,531,304.70, 410,296,957.05 and 82,055,080.70 is: 123,082,621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,531,304.70 : 410,296,957.05 = 82,055,080.70 : x
  2. Step 2: Convert to fraction form
    273,531,304.70/410,296,957.05 = 82,055,080.70/x
  3. Step 3: Cross multiply
    273,531,304.70x = 410,296,957.05 × 82,055,080.70
  4. Step 4: Simplify right side
    273,531,304.70x = 33,666,949,921,702,188
  5. Step 5: Solve for x
    x = 33,666,949,921,702,188/273,531,304.70
  6. Step 6: Final answer
    x = 123,082,621.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.