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Finding the Fourth Proportional to 16,096,936.40, 22,565,570.80 and 16,096,936.40

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Solution

The fourth proportional to 16,096,936.40, 22,565,570.80 and 16,096,936.40 is: 22,565,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096,936.40 : 22,565,570.80 = 16,096,936.40 : x
  2. Step 2: Convert to fraction form
    16,096,936.40/22,565,570.80 = 16,096,936.40/x
  3. Step 3: Cross multiply
    16,096,936.40x = 22,565,570.80 × 16,096,936.40
  4. Step 4: Simplify right side
    16,096,936.40x = 363,236,557,997,297.12
  5. Step 5: Solve for x
    x = 363,236,557,997,297.12/16,096,936.40
  6. Step 6: Final answer
    x = 22,565,570.80

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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.