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Finding the Fourth Proportional to 24,889,892,469.60, 37,334,838,704.40 and 24,889,892,469.60

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Solution

The fourth proportional to 24,889,892,469.60, 37,334,838,704.40 and 24,889,892,469.60 is: 37,334,838,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,889,892,469.60 : 37,334,838,704.40 = 24,889,892,469.60 : x
  2. Step 2: Convert to fraction form
    24,889,892,469.60/37,334,838,704.40 = 24,889,892,469.60/x
  3. Step 3: Cross multiply
    24,889,892,469.60x = 37,334,838,704.40 × 24,889,892,469.60
  4. Step 4: Simplify right side
    24,889,892,469.60x = 929,260,120,722,376,097,792
  5. Step 5: Solve for x
    x = 929,260,120,722,376,097,792/24,889,892,469.60
  6. Step 6: Final answer
    x = 37,334,838,704.40

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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.