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Finding the Fourth Proportional to 28,162,729,269.60, 42,244,093,904.40 and 28,162,729,269.60

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Solution

The fourth proportional to 28,162,729,269.60, 42,244,093,904.40 and 28,162,729,269.60 is: 42,244,093,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,162,729,269.60 : 42,244,093,904.40 = 28,162,729,269.60 : x
  2. Step 2: Convert to fraction form
    28,162,729,269.60/42,244,093,904.40 = 28,162,729,269.60/x
  3. Step 3: Cross multiply
    28,162,729,269.60x = 42,244,093,904.40 × 28,162,729,269.60
  4. Step 4: Simplify right side
    28,162,729,269.60x = 1,189,708,979,869,176,823,808
  5. Step 5: Solve for x
    x = 1,189,708,979,869,176,823,808/28,162,729,269.60
  6. Step 6: Final answer
    x = 42,244,093,904.40

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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.