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Finding the Fourth Proportional to 76,443,476.80, 107,323,198.40 and 76,443,476.80

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Solution

The fourth proportional to 76,443,476.80, 107,323,198.40 and 76,443,476.80 is: 107,323,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,443,476.80 : 107,323,198.40 = 76,443,476.80 : x
  2. Step 2: Convert to fraction form
    76,443,476.80/107,323,198.40 = 76,443,476.80/x
  3. Step 3: Cross multiply
    76,443,476.80x = 107,323,198.40 × 76,443,476.80
  4. Step 4: Simplify right side
    76,443,476.80x = 8,204,158,426,992,197
  5. Step 5: Solve for x
    x = 8,204,158,426,992,197/76,443,476.80
  6. Step 6: Final answer
    x = 107,323,198.40

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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.