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Finding the Fourth Proportional to 29,709,097.20, 41,621,079.60 and 29,709,097.20

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Solution

The fourth proportional to 29,709,097.20, 41,621,079.60 and 29,709,097.20 is: 41,621,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709,097.20 : 41,621,079.60 = 29,709,097.20 : x
  2. Step 2: Convert to fraction form
    29,709,097.20/41,621,079.60 = 29,709,097.20/x
  3. Step 3: Cross multiply
    29,709,097.20x = 41,621,079.60 × 29,709,097.20
  4. Step 4: Simplify right side
    29,709,097.20x = 1,236,524,699,405,337.25
  5. Step 5: Solve for x
    x = 1,236,524,699,405,337.25/29,709,097.20
  6. Step 6: Final answer
    x = 41,621,079.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.