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Finding the Fourth Proportional to 7,836,651,736.20, 11,002,306,069.80 and 7,836,651,736.20

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Solution

The fourth proportional to 7,836,651,736.20, 11,002,306,069.80 and 7,836,651,736.20 is: 11,002,306,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836,651,736.20 : 11,002,306,069.80 = 7,836,651,736.20 : x
  2. Step 2: Convert to fraction form
    7,836,651,736.20/11,002,306,069.80 = 7,836,651,736.20/x
  3. Step 3: Cross multiply
    7,836,651,736.20x = 11,002,306,069.80 × 7,836,651,736.20
  4. Step 4: Simplify right side
    7,836,651,736.20x = 86,221,240,964,101,963,776
  5. Step 5: Solve for x
    x = 86,221,240,964,101,963,776/7,836,651,736.20
  6. Step 6: Final answer
    x = 11,002,306,069.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.