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Finding the Fourth Proportional to 49,214,423.20, 73,821,634.80 and 49,214,423.20

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Solution

The fourth proportional to 49,214,423.20, 73,821,634.80 and 49,214,423.20 is: 73,821,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,214,423.20 : 73,821,634.80 = 49,214,423.20 : x
  2. Step 2: Convert to fraction form
    49,214,423.20/73,821,634.80 = 49,214,423.20/x
  3. Step 3: Cross multiply
    49,214,423.20x = 73,821,634.80 × 49,214,423.20
  4. Step 4: Simplify right side
    49,214,423.20x = 3,633,089,176,363,047.50
  5. Step 5: Solve for x
    x = 3,633,089,176,363,047.50/49,214,423.20
  6. Step 6: Final answer
    x = 73,821,634.80

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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.