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Finding the Fourth Proportional to 273,502,322.40, 410,253,483.60 and 82,026,098.40

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Solution

The fourth proportional to 273,502,322.40, 410,253,483.60 and 82,026,098.40 is: 123,039,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,502,322.40 : 410,253,483.60 = 82,026,098.40 : x
  2. Step 2: Convert to fraction form
    273,502,322.40/410,253,483.60 = 82,026,098.40/x
  3. Step 3: Cross multiply
    273,502,322.40x = 410,253,483.60 × 82,026,098.40
  4. Step 4: Simplify right side
    273,502,322.40x = 33,651,492,614,716,392
  5. Step 5: Solve for x
    x = 33,651,492,614,716,392/273,502,322.40
  6. Step 6: Final answer
    x = 123,039,147.60

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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.