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Finding the Fourth Proportional to 468,703,012.98, 703,191,033.21 and 209,857,698.75

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Solution

The fourth proportional to 468,703,012.98, 703,191,033.21 and 209,857,698.75 is: 314,847,670.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,703,012.98 : 703,191,033.21 = 209,857,698.75 : x
  2. Step 2: Convert to fraction form
    468,703,012.98/703,191,033.21 = 209,857,698.75/x
  3. Step 3: Cross multiply
    468,703,012.98x = 703,191,033.21 × 209,857,698.75
  4. Step 4: Simplify right side
    468,703,012.98x = 147,570,052,014,509,344
  5. Step 5: Solve for x
    x = 147,570,052,014,509,344/468,703,012.98
  6. Step 6: Final answer
    x = 314,847,670.97

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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.