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Finding the Fourth Proportional to 76,443,566.30, 107,323,323.70 and 76,443,566.30

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Solution

The fourth proportional to 76,443,566.30, 107,323,323.70 and 76,443,566.30 is: 107,323,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,443,566.30 : 107,323,323.70 = 76,443,566.30 : x
  2. Step 2: Convert to fraction form
    76,443,566.30/107,323,323.70 = 76,443,566.30/x
  3. Step 3: Cross multiply
    76,443,566.30x = 107,323,323.70 × 76,443,566.30
  4. Step 4: Simplify right side
    76,443,566.30x = 8,204,177,610,797,311
  5. Step 5: Solve for x
    x = 8,204,177,610,797,311/76,443,566.30
  6. Step 6: Final answer
    x = 107,323,323.70

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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.