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Finding the Fourth Proportional to 6,802,117.30, 10,203,175.95 and 6,802,117.30

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Solution

The fourth proportional to 6,802,117.30, 10,203,175.95 and 6,802,117.30 is: 10,203,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802,117.30 : 10,203,175.95 = 6,802,117.30 : x
  2. Step 2: Convert to fraction form
    6,802,117.30/10,203,175.95 = 6,802,117.30/x
  3. Step 3: Cross multiply
    6,802,117.30x = 10,203,175.95 × 6,802,117.30
  4. Step 4: Simplify right side
    6,802,117.30x = 69,403,199,644,438.93
  5. Step 5: Solve for x
    x = 69,403,199,644,438.93/6,802,117.30
  6. Step 6: Final answer
    x = 10,203,175.95

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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.