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Finding the Fourth Proportional to 76,100,958,139.80, 114,151,437,209.70 and 76,100,958,139.80

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Solution

The fourth proportional to 76,100,958,139.80, 114,151,437,209.70 and 76,100,958,139.80 is: 114,151,437,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,100,958,139.80 : 114,151,437,209.70 = 76,100,958,139.80 : x
  2. Step 2: Convert to fraction form
    76,100,958,139.80/114,151,437,209.70 = 76,100,958,139.80/x
  3. Step 3: Cross multiply
    76,100,958,139.80x = 114,151,437,209.70 × 76,100,958,139.80
  4. Step 4: Simplify right side
    76,100,958,139.80x = 8,687,033,744,693,388,115,968
  5. Step 5: Solve for x
    x = 8,687,033,744,693,388,115,968/76,100,958,139.80
  6. Step 6: Final answer
    x = 114,151,437,209.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.