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Finding the Fourth Proportional to 168,522,091,798.40, 252,783,137,697.60 and 168,522,091,798.40

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Solution

The fourth proportional to 168,522,091,798.40, 252,783,137,697.60 and 168,522,091,798.40 is: 252,783,137,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,522,091,798.40 : 252,783,137,697.60 = 168,522,091,798.40 : x
  2. Step 2: Convert to fraction form
    168,522,091,798.40/252,783,137,697.60 = 168,522,091,798.40/x
  3. Step 3: Cross multiply
    168,522,091,798.40x = 252,783,137,697.60 × 168,522,091,798.40
  4. Step 4: Simplify right side
    168,522,091,798.40x = 42,599,543,136,162,538,323,968
  5. Step 5: Solve for x
    x = 42,599,543,136,162,538,323,968/168,522,091,798.40
  6. Step 6: Final answer
    x = 252,783,137,697.60

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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.