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Finding the Fourth Proportional to 5,240,964,029,007.40, 7,861,446,043,511.40 and 5,240,964,029,007.40

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Solution

The fourth proportional to 5,240,964,029,007.40, 7,861,446,043,511.40 and 5,240,964,029,007.40 is: 7,861,446,043,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240,964,029,007.40 : 7,861,446,043,511.40 = 5,240,964,029,007.40 : x
  2. Step 2: Convert to fraction form
    5,240,964,029,007.40/7,861,446,043,511.40 = 5,240,964,029,007.40/x
  3. Step 3: Cross multiply
    5,240,964,029,007.40x = 7,861,446,043,511.40 × 5,240,964,029,007.40
  4. Step 4: Simplify right side
    5,240,964,029,007.40x = 41,201,555,930,025,799,540,801,536
  5. Step 5: Solve for x
    x = 41,201,555,930,025,799,540,801,536/5,240,964,029,007.40
  6. Step 6: Final answer
    x = 7,861,446,043,511.40

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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.