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Finding the Fourth Proportional to 11,321,634,808,212, 16,982,452,212,318 and 11,321,634,808,212

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Solution

The fourth proportional to 11,321,634,808,212, 16,982,452,212,318 and 11,321,634,808,212 is: 16,982,452,212,318

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321,634,808,212 : 16,982,452,212,318 = 11,321,634,808,212 : x
  2. Step 2: Convert to fraction form
    11,321,634,808,212/16,982,452,212,318 = 11,321,634,808,212/x
  3. Step 3: Cross multiply
    11,321,634,808,212x = 16,982,452,212,318 × 11,321,634,808,212
  4. Step 4: Simplify right side
    11,321,634,808,212x = 192,269,122,095,776,355,714,072,576
  5. Step 5: Solve for x
    x = 192,269,122,095,776,355,714,072,576/11,321,634,808,212
  6. Step 6: Final answer
    x = 16,982,452,212,318

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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.