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Finding the Fourth Proportional to 505,857,568.50, 697,869,684.32 and 338,647,702.23

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Solution

The fourth proportional to 505,857,568.50, 697,869,684.32 and 338,647,702.23 is: 467,190,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,857,568.50 : 697,869,684.32 = 338,647,702.23 : x
  2. Step 2: Convert to fraction form
    505,857,568.50/697,869,684.32 = 338,647,702.23/x
  3. Step 3: Cross multiply
    505,857,568.50x = 697,869,684.32 × 338,647,702.23
  4. Step 4: Simplify right side
    505,857,568.50x = 236,331,965,049,250,240
  5. Step 5: Solve for x
    x = 236,331,965,049,250,240/505,857,568.50
  6. Step 6: Final answer
    x = 467,190,726.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.