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Finding the Fourth Proportional to 614,770,713.60, 921,837,205.80 and 226,393,630.80

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Solution

The fourth proportional to 614,770,713.60, 921,837,205.80 and 226,393,630.80 is: 339,473,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,770,713.60 : 921,837,205.80 = 226,393,630.80 : x
  2. Step 2: Convert to fraction form
    614,770,713.60/921,837,205.80 = 226,393,630.80/x
  3. Step 3: Cross multiply
    614,770,713.60x = 921,837,205.80 × 226,393,630.80
  4. Step 4: Simplify right side
    614,770,713.60x = 208,698,072,027,588,832
  5. Step 5: Solve for x
    x = 208,698,072,027,588,832/614,770,713.60
  6. Step 6: Final answer
    x = 339,473,022.07

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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.