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Finding the Fourth Proportional to 16,969,652,562.40, 25,454,478,843.60 and 16,969,652,562.40

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Solution

The fourth proportional to 16,969,652,562.40, 25,454,478,843.60 and 16,969,652,562.40 is: 25,454,478,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969,652,562.40 : 25,454,478,843.60 = 16,969,652,562.40 : x
  2. Step 2: Convert to fraction form
    16,969,652,562.40/25,454,478,843.60 = 16,969,652,562.40/x
  3. Step 3: Cross multiply
    16,969,652,562.40x = 25,454,478,843.60 × 16,969,652,562.40
  4. Step 4: Simplify right side
    16,969,652,562.40x = 431,953,662,132,853,276,672
  5. Step 5: Solve for x
    x = 431,953,662,132,853,276,672/16,969,652,562.40
  6. Step 6: Final answer
    x = 25,454,478,843.60

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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.