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Finding the Fourth Proportional to 10,865,059,342.40, 16,297,589,013.60 and 10,865,059,342.40

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Solution

The fourth proportional to 10,865,059,342.40, 16,297,589,013.60 and 10,865,059,342.40 is: 16,297,589,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865,059,342.40 : 16,297,589,013.60 = 10,865,059,342.40 : x
  2. Step 2: Convert to fraction form
    10,865,059,342.40/16,297,589,013.60 = 10,865,059,342.40/x
  3. Step 3: Cross multiply
    10,865,059,342.40x = 16,297,589,013.60 × 10,865,059,342.40
  4. Step 4: Simplify right side
    10,865,059,342.40x = 177,074,271,770,810,286,080
  5. Step 5: Solve for x
    x = 177,074,271,770,810,286,080/10,865,059,342.40
  6. Step 6: Final answer
    x = 16,297,589,013.60

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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.