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Finding the Fourth Proportional to 22,102,793,998.90, 33,154,190,998.35 and 22,102,793,998.90

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Solution

The fourth proportional to 22,102,793,998.90, 33,154,190,998.35 and 22,102,793,998.90 is: 33,154,190,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102,793,998.90 : 33,154,190,998.35 = 22,102,793,998.90 : x
  2. Step 2: Convert to fraction form
    22,102,793,998.90/33,154,190,998.35 = 22,102,793,998.90/x
  3. Step 3: Cross multiply
    22,102,793,998.90x = 33,154,190,998.35 × 22,102,793,998.90
  4. Step 4: Simplify right side
    22,102,793,998.90x = 732,800,253,836,714,835,968
  5. Step 5: Solve for x
    x = 732,800,253,836,714,835,968/22,102,793,998.90
  6. Step 6: Final answer
    x = 33,154,190,998.35

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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.