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Finding the Fourth Proportional to 3,836,385,872.80, 5,754,578,809.20 and 3,836,385,872.80

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Solution

The fourth proportional to 3,836,385,872.80, 5,754,578,809.20 and 3,836,385,872.80 is: 5,754,578,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836,385,872.80 : 5,754,578,809.20 = 3,836,385,872.80 : x
  2. Step 2: Convert to fraction form
    3,836,385,872.80/5,754,578,809.20 = 3,836,385,872.80/x
  3. Step 3: Cross multiply
    3,836,385,872.80x = 5,754,578,809.20 × 3,836,385,872.80
  4. Step 4: Simplify right side
    3,836,385,872.80x = 22,076,784,847,529,127,936
  5. Step 5: Solve for x
    x = 22,076,784,847,529,127,936/3,836,385,872.80
  6. Step 6: Final answer
    x = 5,754,578,809.20

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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.