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Finding the Fourth Proportional to 111,895,395,874.40, 167,843,093,811.60 and 111,895,395,874.40

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Solution

The fourth proportional to 111,895,395,874.40, 167,843,093,811.60 and 111,895,395,874.40 is: 167,843,093,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,895,395,874.40 : 167,843,093,811.60 = 111,895,395,874.40 : x
  2. Step 2: Convert to fraction form
    111,895,395,874.40/167,843,093,811.60 = 111,895,395,874.40/x
  3. Step 3: Cross multiply
    111,895,395,874.40x = 167,843,093,811.60 × 111,895,395,874.40
  4. Step 4: Simplify right side
    111,895,395,874.40x = 18,780,869,426,833,038,245,888
  5. Step 5: Solve for x
    x = 18,780,869,426,833,038,245,888/111,895,395,874.40
  6. Step 6: Final answer
    x = 167,843,093,811.60

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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.