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Finding the Fourth Proportional to 820,994,454,024.50, 1,231,491,681,036.90 and 820,994,454,024.50

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Solution

The fourth proportional to 820,994,454,024.50, 1,231,491,681,036.90 and 820,994,454,024.50 is: 1,231,491,681,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,994,454,024.50 : 1,231,491,681,036.90 = 820,994,454,024.50 : x
  2. Step 2: Convert to fraction form
    820,994,454,024.50/1,231,491,681,036.90 = 820,994,454,024.50/x
  3. Step 3: Cross multiply
    820,994,454,024.50x = 1,231,491,681,036.90 × 820,994,454,024.50
  4. Step 4: Simplify right side
    820,994,454,024.50x = 1,011,047,840,308,603,322,892,288
  5. Step 5: Solve for x
    x = 1,011,047,840,308,603,322,892,288/820,994,454,024.50
  6. Step 6: Final answer
    x = 1,231,491,681,036.90

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Why These Related Problems?

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