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Finding the Fourth Proportional to 17,768,098.40, 24,932,024.80 and 17,768,098.40

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Solution

The fourth proportional to 17,768,098.40, 24,932,024.80 and 17,768,098.40 is: 24,932,024.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768,098.40 : 24,932,024.80 = 17,768,098.40 : x
  2. Step 2: Convert to fraction form
    17,768,098.40/24,932,024.80 = 17,768,098.40/x
  3. Step 3: Cross multiply
    17,768,098.40x = 24,932,024.80 × 17,768,098.40
  4. Step 4: Simplify right side
    17,768,098.40x = 442,994,669,957,640.31
  5. Step 5: Solve for x
    x = 442,994,669,957,640.31/17,768,098.40
  6. Step 6: Final answer
    x = 24,932,024.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.