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Finding the Fourth Proportional to 12,068,208,930.98, 18,102,313,396.47 and 12,068,208,930.98

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Solution

The fourth proportional to 12,068,208,930.98, 18,102,313,396.47 and 12,068,208,930.98 is: 18,102,313,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,068,208,930.98 : 18,102,313,396.47 = 12,068,208,930.98 : x
  2. Step 2: Convert to fraction form
    12,068,208,930.98/18,102,313,396.47 = 12,068,208,930.98/x
  3. Step 3: Cross multiply
    12,068,208,930.98x = 18,102,313,396.47 × 12,068,208,930.98
  4. Step 4: Simplify right side
    12,068,208,930.98x = 218,462,500,202,587,652,096
  5. Step 5: Solve for x
    x = 218,462,500,202,587,652,096/12,068,208,930.98
  6. Step 6: Final answer
    x = 18,102,313,396.47

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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.