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Finding the Fourth Proportional to 6,804,145.20, 9,538,400.40 and 6,804,145.20

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Solution

The fourth proportional to 6,804,145.20, 9,538,400.40 and 6,804,145.20 is: 9,538,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804,145.20 : 9,538,400.40 = 6,804,145.20 : x
  2. Step 2: Convert to fraction form
    6,804,145.20/9,538,400.40 = 6,804,145.20/x
  3. Step 3: Cross multiply
    6,804,145.20x = 9,538,400.40 × 6,804,145.20
  4. Step 4: Simplify right side
    6,804,145.20x = 64,900,661,297,338.09
  5. Step 5: Solve for x
    x = 64,900,661,297,338.09/6,804,145.20
  6. Step 6: Final answer
    x = 9,538,400.40

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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.