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Finding the Fourth Proportional to 417,202,300.40, 626,027,399.40 and 174,889,698.80

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Solution

The fourth proportional to 417,202,300.40, 626,027,399.40 and 174,889,698.80 is: 262,428,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,202,300.40 : 626,027,399.40 = 174,889,698.80 : x
  2. Step 2: Convert to fraction form
    417,202,300.40/626,027,399.40 = 174,889,698.80/x
  3. Step 3: Cross multiply
    417,202,300.40x = 626,027,399.40 × 174,889,698.80
  4. Step 4: Simplify right side
    417,202,300.40x = 109,485,743,321,613,312
  5. Step 5: Solve for x
    x = 109,485,743,321,613,312/417,202,300.40
  6. Step 6: Final answer
    x = 262,428,426.73

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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.