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Finding the Fourth Proportional to 22,892,562,803.10, 34,338,844,204.65 and 22,892,562,803.10

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Solution

The fourth proportional to 22,892,562,803.10, 34,338,844,204.65 and 22,892,562,803.10 is: 34,338,844,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892,562,803.10 : 34,338,844,204.65 = 22,892,562,803.10 : x
  2. Step 2: Convert to fraction form
    22,892,562,803.10/34,338,844,204.65 = 22,892,562,803.10/x
  3. Step 3: Cross multiply
    22,892,562,803.10x = 34,338,844,204.65 × 22,892,562,803.10
  4. Step 4: Simplify right side
    22,892,562,803.10x = 786,104,147,540,816,560,128
  5. Step 5: Solve for x
    x = 786,104,147,540,816,560,128/22,892,562,803.10
  6. Step 6: Final answer
    x = 34,338,844,204.65

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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.