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Finding the Fourth Proportional to 9,796,829.60, 14,691,745.20 and 3,407,290.40

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Solution

The fourth proportional to 9,796,829.60, 14,691,745.20 and 3,407,290.40 is: 5,109,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796,829.60 : 14,691,745.20 = 3,407,290.40 : x
  2. Step 2: Convert to fraction form
    9,796,829.60/14,691,745.20 = 3,407,290.40/x
  3. Step 3: Cross multiply
    9,796,829.60x = 14,691,745.20 × 3,407,290.40
  4. Step 4: Simplify right side
    9,796,829.60x = 50,059,042,379,206.08
  5. Step 5: Solve for x
    x = 50,059,042,379,206.08/9,796,829.60
  6. Step 6: Final answer
    x = 5,109,718.60

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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.