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Finding the Fourth Proportional to 653,505,309.80, 978,914,271.90 and 449,264,004.20

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Solution

The fourth proportional to 653,505,309.80, 978,914,271.90 and 449,264,004.20 is: 672,972,260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,505,309.80 : 978,914,271.90 = 449,264,004.20 : x
  2. Step 2: Convert to fraction form
    653,505,309.80/978,914,271.90 = 449,264,004.20/x
  3. Step 3: Cross multiply
    653,505,309.80x = 978,914,271.90 × 449,264,004.20
  4. Step 4: Simplify right side
    653,505,309.80x = 439,790,945,562,321,536
  5. Step 5: Solve for x
    x = 439,790,945,562,321,536/653,505,309.80
  6. Step 6: Final answer
    x = 672,972,260.47

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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.