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Finding the Fourth Proportional to 104,647,104,062.40, 156,970,656,093.60 and 104,647,104,062.40

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Solution

The fourth proportional to 104,647,104,062.40, 156,970,656,093.60 and 104,647,104,062.40 is: 156,970,656,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,647,104,062.40 : 156,970,656,093.60 = 104,647,104,062.40 : x
  2. Step 2: Convert to fraction form
    104,647,104,062.40/156,970,656,093.60 = 104,647,104,062.40/x
  3. Step 3: Cross multiply
    104,647,104,062.40x = 156,970,656,093.60 × 104,647,104,062.40
  4. Step 4: Simplify right side
    104,647,104,062.40x = 16,426,524,582,970,161,889,280
  5. Step 5: Solve for x
    x = 16,426,524,582,970,161,889,280/104,647,104,062.40
  6. Step 6: Final answer
    x = 156,970,656,093.60

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Why These Related Problems?

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