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Finding the Fourth Proportional to 3,669,786,098.98, 5,504,679,148.47 and 3,669,786,098.98

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Solution

The fourth proportional to 3,669,786,098.98, 5,504,679,148.47 and 3,669,786,098.98 is: 5,504,679,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,786,098.98 : 5,504,679,148.47 = 3,669,786,098.98 : x
  2. Step 2: Convert to fraction form
    3,669,786,098.98/5,504,679,148.47 = 3,669,786,098.98/x
  3. Step 3: Cross multiply
    3,669,786,098.98x = 5,504,679,148.47 × 3,669,786,098.98
  4. Step 4: Simplify right side
    3,669,786,098.98x = 20,200,995,018,400,272,384
  5. Step 5: Solve for x
    x = 20,200,995,018,400,272,384/3,669,786,098.98
  6. Step 6: Final answer
    x = 5,504,679,148.47

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Double scale
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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.