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Finding the Fourth Proportional to 4,402,142.40, 6,167,198.40 and 4,402,142.40

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Solution

The fourth proportional to 4,402,142.40, 6,167,198.40 and 4,402,142.40 is: 6,167,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402,142.40 : 6,167,198.40 = 4,402,142.40 : x
  2. Step 2: Convert to fraction form
    4,402,142.40/6,167,198.40 = 4,402,142.40/x
  3. Step 3: Cross multiply
    4,402,142.40x = 6,167,198.40 × 4,402,142.40
  4. Step 4: Simplify right side
    4,402,142.40x = 27,148,885,565,852.16
  5. Step 5: Solve for x
    x = 27,148,885,565,852.16/4,402,142.40
  6. Step 6: Final answer
    x = 6,167,198.40

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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.