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Finding the Fourth Proportional to 264,498,301.80, 396,747,452.70 and 196,473,853.80

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Solution

The fourth proportional to 264,498,301.80, 396,747,452.70 and 196,473,853.80 is: 294,710,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,498,301.80 : 396,747,452.70 = 196,473,853.80 : x
  2. Step 2: Convert to fraction form
    264,498,301.80/396,747,452.70 = 196,473,853.80/x
  3. Step 3: Cross multiply
    264,498,301.80x = 396,747,452.70 × 196,473,853.80
  4. Step 4: Simplify right side
    264,498,301.80x = 77,950,501,017,302,224
  5. Step 5: Solve for x
    x = 77,950,501,017,302,224/264,498,301.80
  6. Step 6: Final answer
    x = 294,710,780.70

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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.