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Finding the Fourth Proportional to 27,856,516.40, 41,784,774.60 and 27,856,516.40

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Solution

The fourth proportional to 27,856,516.40, 41,784,774.60 and 27,856,516.40 is: 41,784,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856,516.40 : 41,784,774.60 = 27,856,516.40 : x
  2. Step 2: Convert to fraction form
    27,856,516.40/41,784,774.60 = 27,856,516.40/x
  3. Step 3: Cross multiply
    27,856,516.40x = 41,784,774.60 × 27,856,516.40
  4. Step 4: Simplify right side
    27,856,516.40x = 1,163,978,258,915,203.50
  5. Step 5: Solve for x
    x = 1,163,978,258,915,203.50/27,856,516.40
  6. Step 6: Final answer
    x = 41,784,774.60

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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.