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Finding the Fourth Proportional to 12,012,245,109.90, 18,018,367,664.85 and 12,012,245,109.90

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Solution

The fourth proportional to 12,012,245,109.90, 18,018,367,664.85 and 12,012,245,109.90 is: 18,018,367,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012,245,109.90 : 18,018,367,664.85 = 12,012,245,109.90 : x
  2. Step 2: Convert to fraction form
    12,012,245,109.90/18,018,367,664.85 = 12,012,245,109.90/x
  3. Step 3: Cross multiply
    12,012,245,109.90x = 18,018,367,664.85 × 12,012,245,109.90
  4. Step 4: Simplify right side
    12,012,245,109.90x = 216,441,048,870,474,678,272
  5. Step 5: Solve for x
    x = 216,441,048,870,474,678,272/12,012,245,109.90
  6. Step 6: Final answer
    x = 18,018,367,664.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.