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Finding the Fourth Proportional to 2,751,970,033.05, 3,863,641,957.95 and 2,751,970,033.05

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Solution

The fourth proportional to 2,751,970,033.05, 3,863,641,957.95 and 2,751,970,033.05 is: 3,863,641,957.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751,970,033.05 : 3,863,641,957.95 = 2,751,970,033.05 : x
  2. Step 2: Convert to fraction form
    2,751,970,033.05/3,863,641,957.95 = 2,751,970,033.05/x
  3. Step 3: Cross multiply
    2,751,970,033.05x = 3,863,641,957.95 × 2,751,970,033.05
  4. Step 4: Simplify right side
    2,751,970,033.05x = 10,632,626,886,713,028,608
  5. Step 5: Solve for x
    x = 10,632,626,886,713,028,608/2,751,970,033.05
  6. Step 6: Final answer
    x = 3,863,641,957.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.