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Finding the Fourth Proportional to 76,443,968.80, 107,323,887.20 and 76,443,968.80

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Solution

The fourth proportional to 76,443,968.80, 107,323,887.20 and 76,443,968.80 is: 107,323,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,443,968.80 : 107,323,887.20 = 76,443,968.80 : x
  2. Step 2: Convert to fraction form
    76,443,968.80/107,323,887.20 = 76,443,968.80/x
  3. Step 3: Cross multiply
    76,443,968.80x = 107,323,887.20 × 76,443,968.80
  4. Step 4: Simplify right side
    76,443,968.80x = 8,204,263,884,611,519
  5. Step 5: Solve for x
    x = 8,204,263,884,611,519/76,443,968.80
  6. Step 6: Final answer
    x = 107,323,887.20

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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.