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Finding the Fourth Proportional to 10,880,485,176.80, 15,261,703,012 and 10,880,485,176.80

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Solution

The fourth proportional to 10,880,485,176.80, 15,261,703,012 and 10,880,485,176.80 is: 15,261,703,012

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880,485,176.80 : 15,261,703,012 = 10,880,485,176.80 : x
  2. Step 2: Convert to fraction form
    10,880,485,176.80/15,261,703,012 = 10,880,485,176.80/x
  3. Step 3: Cross multiply
    10,880,485,176.80x = 15,261,703,012 × 10,880,485,176.80
  4. Step 4: Simplify right side
    10,880,485,176.80x = 166,054,733,394,789,892,096
  5. Step 5: Solve for x
    x = 166,054,733,394,789,892,096/10,880,485,176.80
  6. Step 6: Final answer
    x = 15,261,703,012

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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.