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Finding the Fourth Proportional to 11,216,576.09, 16,824,864.14 and 11,216,576.09

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Solution

The fourth proportional to 11,216,576.09, 16,824,864.14 and 11,216,576.09 is: 16,824,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216,576.09 : 16,824,864.14 = 11,216,576.09 : x
  2. Step 2: Convert to fraction form
    11,216,576.09/16,824,864.14 = 11,216,576.09/x
  3. Step 3: Cross multiply
    11,216,576.09x = 16,824,864.14 × 11,216,576.09
  4. Step 4: Simplify right side
    11,216,576.09x = 188,717,368,774,139.56
  5. Step 5: Solve for x
    x = 188,717,368,774,139.56/11,216,576.09
  6. Step 6: Final answer
    x = 16,824,864.14

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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.