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Finding the Fourth Proportional to 196,649,782.80, 294,974,674.20 and 196,649,782.80

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Solution

The fourth proportional to 196,649,782.80, 294,974,674.20 and 196,649,782.80 is: 294,974,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,649,782.80 : 294,974,674.20 = 196,649,782.80 : x
  2. Step 2: Convert to fraction form
    196,649,782.80/294,974,674.20 = 196,649,782.80/x
  3. Step 3: Cross multiply
    196,649,782.80x = 294,974,674.20 × 196,649,782.80
  4. Step 4: Simplify right side
    196,649,782.80x = 58,006,705,612,930,768
  5. Step 5: Solve for x
    x = 58,006,705,612,930,768/196,649,782.80
  6. Step 6: Final answer
    x = 294,974,674.20

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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.