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Finding the Fourth Proportional to 248,584,787,999.80, 372,877,181,999.67 and 248,584,787,999.80

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Solution

The fourth proportional to 248,584,787,999.80, 372,877,181,999.67 and 248,584,787,999.80 is: 372,877,181,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,584,787,999.80 : 372,877,181,999.67 = 248,584,787,999.80 : x
  2. Step 2: Convert to fraction form
    248,584,787,999.80/372,877,181,999.67 = 248,584,787,999.80/x
  3. Step 3: Cross multiply
    248,584,787,999.80x = 372,877,181,999.67 × 248,584,787,999.80
  4. Step 4: Simplify right side
    248,584,787,999.80x = 92,691,595,237,350,801,670,144
  5. Step 5: Solve for x
    x = 92,691,595,237,350,801,670,144/248,584,787,999.80
  6. Step 6: Final answer
    x = 372,877,181,999.67

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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.