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Finding the Fourth Proportional to 324,641,578,874.70, 486,962,368,312.05 and 274,431,883,500.30

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Solution

The fourth proportional to 324,641,578,874.70, 486,962,368,312.05 and 274,431,883,500.30 is: 411,647,825,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,641,578,874.70 : 486,962,368,312.05 = 274,431,883,500.30 : x
  2. Step 2: Convert to fraction form
    324,641,578,874.70/486,962,368,312.05 = 274,431,883,500.30/x
  3. Step 3: Cross multiply
    324,641,578,874.70x = 486,962,368,312.05 × 274,431,883,500.30
  4. Step 4: Simplify right side
    324,641,578,874.70x = 133,637,999,929,642,675,339,264
  5. Step 5: Solve for x
    x = 133,637,999,929,642,675,339,264/324,641,578,874.70
  6. Step 6: Final answer
    x = 411,647,825,250.45

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1.5x scale

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.