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Finding the Fourth Proportional to 290,313,633.60, 434,462,680.80 and 266,127,163.20

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Solution

The fourth proportional to 290,313,633.60, 434,462,680.80 and 266,127,163.20 is: 398,266,934.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,313,633.60 : 434,462,680.80 = 266,127,163.20 : x
  2. Step 2: Convert to fraction form
    290,313,633.60/434,462,680.80 = 266,127,163.20/x
  3. Step 3: Cross multiply
    290,313,633.60x = 434,462,680.80 × 266,127,163.20
  4. Step 4: Simplify right side
    290,313,633.60x = 115,622,320,757,571,104
  5. Step 5: Solve for x
    x = 115,622,320,757,571,104/290,313,633.60
  6. Step 6: Final answer
    x = 398,266,934.02

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