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Finding the Fourth Proportional to 298,340,351,999.80, 447,510,527,999.70 and 298,340,351,999.80

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Solution

The fourth proportional to 298,340,351,999.80, 447,510,527,999.70 and 298,340,351,999.80 is: 447,510,527,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,340,351,999.80 : 447,510,527,999.70 = 298,340,351,999.80 : x
  2. Step 2: Convert to fraction form
    298,340,351,999.80/447,510,527,999.70 = 298,340,351,999.80/x
  3. Step 3: Cross multiply
    298,340,351,999.80x = 447,510,527,999.70 × 298,340,351,999.80
  4. Step 4: Simplify right side
    298,340,351,999.80x = 133,510,448,447,046,843,105,280
  5. Step 5: Solve for x
    x = 133,510,448,447,046,843,105,280/298,340,351,999.80
  6. Step 6: Final answer
    x = 447,510,527,999.70

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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.