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Finding the Fourth Proportional to 17,771,253.20, 26,617,021.72 and 17,771,253.20

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Solution

The fourth proportional to 17,771,253.20, 26,617,021.72 and 17,771,253.20 is: 26,617,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771,253.20 : 26,617,021.72 = 17,771,253.20 : x
  2. Step 2: Convert to fraction form
    17,771,253.20/26,617,021.72 = 17,771,253.20/x
  3. Step 3: Cross multiply
    17,771,253.20x = 26,617,021.72 × 17,771,253.20
  4. Step 4: Simplify right side
    17,771,253.20x = 473,017,832,416,019.44
  5. Step 5: Solve for x
    x = 473,017,832,416,019.44/17,771,253.20
  6. Step 6: Final answer
    x = 26,617,021.72

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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.