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Finding the Fourth Proportional to 7,769,271,322.30, 11,653,906,983.45 and 7,769,271,322.30

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Solution

The fourth proportional to 7,769,271,322.30, 11,653,906,983.45 and 7,769,271,322.30 is: 11,653,906,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769,271,322.30 : 11,653,906,983.45 = 7,769,271,322.30 : x
  2. Step 2: Convert to fraction form
    7,769,271,322.30/11,653,906,983.45 = 7,769,271,322.30/x
  3. Step 3: Cross multiply
    7,769,271,322.30x = 11,653,906,983.45 × 7,769,271,322.30
  4. Step 4: Simplify right side
    7,769,271,322.30x = 90,542,365,319,269,793,792
  5. Step 5: Solve for x
    x = 90,542,365,319,269,793,792/7,769,271,322.30
  6. Step 6: Final answer
    x = 11,653,906,983.45

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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.