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Finding the Fourth Proportional to 13,102,523.30, 19,653,784.96 and 13,102,523.30

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Solution

The fourth proportional to 13,102,523.30, 19,653,784.96 and 13,102,523.30 is: 19,653,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102,523.30 : 19,653,784.96 = 13,102,523.30 : x
  2. Step 2: Convert to fraction form
    13,102,523.30/19,653,784.96 = 13,102,523.30/x
  3. Step 3: Cross multiply
    13,102,523.30x = 19,653,784.96 × 13,102,523.30
  4. Step 4: Simplify right side
    13,102,523.30x = 257,514,175,371,589.59
  5. Step 5: Solve for x
    x = 257,514,175,371,589.59/13,102,523.30
  6. Step 6: Final answer
    x = 19,653,784.96

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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.