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Finding the Fourth Proportional to 417,202,296.40, 626,027,393.40 and 174,889,694.80

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Solution

The fourth proportional to 417,202,296.40, 626,027,393.40 and 174,889,694.80 is: 262,428,420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,202,296.40 : 626,027,393.40 = 174,889,694.80 : x
  2. Step 2: Convert to fraction form
    417,202,296.40/626,027,393.40 = 174,889,694.80/x
  3. Step 3: Cross multiply
    417,202,296.40x = 626,027,393.40 × 174,889,694.80
  4. Step 4: Simplify right side
    417,202,296.40x = 109,485,739,768,165,536
  5. Step 5: Solve for x
    x = 109,485,739,768,165,536/417,202,296.40
  6. Step 6: Final answer
    x = 262,428,420.73

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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.