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Finding the Fourth Proportional to 33,154,190,998.60, 49,731,286,497.90 and 33,154,190,998.60

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Solution

The fourth proportional to 33,154,190,998.60, 49,731,286,497.90 and 33,154,190,998.60 is: 49,731,286,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,154,190,998.60 : 49,731,286,497.90 = 33,154,190,998.60 : x
  2. Step 2: Convert to fraction form
    33,154,190,998.60/49,731,286,497.90 = 33,154,190,998.60/x
  3. Step 3: Cross multiply
    33,154,190,998.60x = 49,731,286,497.90 × 33,154,190,998.60
  4. Step 4: Simplify right side
    33,154,190,998.60x = 1,648,800,571,157,473,918,976
  5. Step 5: Solve for x
    x = 1,648,800,571,157,473,918,976/33,154,190,998.60
  6. Step 6: Final answer
    x = 49,731,286,497.90

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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.