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Finding the Fourth Proportional to 10,165,961,940.40, 15,248,942,910.60 and 10,165,961,940.40

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Solution

The fourth proportional to 10,165,961,940.40, 15,248,942,910.60 and 10,165,961,940.40 is: 15,248,942,910.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165,961,940.40 : 15,248,942,910.60 = 10,165,961,940.40 : x
  2. Step 2: Convert to fraction form
    10,165,961,940.40/15,248,942,910.60 = 10,165,961,940.40/x
  3. Step 3: Cross multiply
    10,165,961,940.40x = 15,248,942,910.60 × 10,165,961,940.40
  4. Step 4: Simplify right side
    10,165,961,940.40x = 155,020,173,260,492,013,568
  5. Step 5: Solve for x
    x = 155,020,173,260,492,013,568/10,165,961,940.40
  6. Step 6: Final answer
    x = 15,248,942,910.60

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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.