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Finding the Fourth Proportional to 273,502,323.40, 410,253,485.10 and 82,026,099.40

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Solution

The fourth proportional to 273,502,323.40, 410,253,485.10 and 82,026,099.40 is: 123,039,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,502,323.40 : 410,253,485.10 = 82,026,099.40 : x
  2. Step 2: Convert to fraction form
    273,502,323.40/410,253,485.10 = 82,026,099.40/x
  3. Step 3: Cross multiply
    273,502,323.40x = 410,253,485.10 × 82,026,099.40
  4. Step 4: Simplify right side
    273,502,323.40x = 33,651,493,148,009,024
  5. Step 5: Solve for x
    x = 33,651,493,148,009,024/273,502,323.40
  6. Step 6: Final answer
    x = 123,039,149.10

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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.