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Finding the Fourth Proportional to 483,942,994,728.80, 725,914,492,093.20 and 483,942,994,728.80

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Solution

The fourth proportional to 483,942,994,728.80, 725,914,492,093.20 and 483,942,994,728.80 is: 725,914,492,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,942,994,728.80 : 725,914,492,093.20 = 483,942,994,728.80 : x
  2. Step 2: Convert to fraction form
    483,942,994,728.80/725,914,492,093.20 = 483,942,994,728.80/x
  3. Step 3: Cross multiply
    483,942,994,728.80x = 725,914,492,093.20 × 483,942,994,728.80
  4. Step 4: Simplify right side
    483,942,994,728.80x = 351,301,233,220,619,004,280,832
  5. Step 5: Solve for x
    x = 351,301,233,220,619,004,280,832/483,942,994,728.80
  6. Step 6: Final answer
    x = 725,914,492,093.20

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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.