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Finding the Fourth Proportional to 11,700,823.30, 17,519,742.15 and 11,700,823.30

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Solution

The fourth proportional to 11,700,823.30, 17,519,742.15 and 11,700,823.30 is: 17,519,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700,823.30 : 17,519,742.15 = 11,700,823.30 : x
  2. Step 2: Convert to fraction form
    11,700,823.30/17,519,742.15 = 11,700,823.30/x
  3. Step 3: Cross multiply
    11,700,823.30x = 17,519,742.15 × 11,700,823.30
  4. Step 4: Simplify right side
    11,700,823.30x = 204,995,407,158,712.09
  5. Step 5: Solve for x
    x = 204,995,407,158,712.09/11,700,823.30
  6. Step 6: Final answer
    x = 17,519,742.15

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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.