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Finding the Fourth Proportional to 189,072,715,431.40, 283,609,073,147.10 and 189,072,715,431.40

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Solution

The fourth proportional to 189,072,715,431.40, 283,609,073,147.10 and 189,072,715,431.40 is: 283,609,073,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,072,715,431.40 : 283,609,073,147.10 = 189,072,715,431.40 : x
  2. Step 2: Convert to fraction form
    189,072,715,431.40/283,609,073,147.10 = 189,072,715,431.40/x
  3. Step 3: Cross multiply
    189,072,715,431.40x = 283,609,073,147.10 × 189,072,715,431.40
  4. Step 4: Simplify right side
    189,072,715,431.40x = 53,622,737,580,904,736,096,256
  5. Step 5: Solve for x
    x = 53,622,737,580,904,736,096,256/189,072,715,431.40
  6. Step 6: Final answer
    x = 283,609,073,147.10

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1.5x scale

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.