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Finding the Fourth Proportional to 324,641,578,873.70, 486,962,368,310.55 and 274,431,883,499.30

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Solution

The fourth proportional to 324,641,578,873.70, 486,962,368,310.55 and 274,431,883,499.30 is: 411,647,825,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,641,578,873.70 : 486,962,368,310.55 = 274,431,883,499.30 : x
  2. Step 2: Convert to fraction form
    324,641,578,873.70/486,962,368,310.55 = 274,431,883,499.30/x
  3. Step 3: Cross multiply
    324,641,578,873.70x = 486,962,368,310.55 × 274,431,883,499.30
  4. Step 4: Simplify right side
    324,641,578,873.70x = 133,637,999,928,744,070,873,088
  5. Step 5: Solve for x
    x = 133,637,999,928,744,070,873,088/324,641,578,873.70
  6. Step 6: Final answer
    x = 411,647,825,248.95

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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.