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Finding the Fourth Proportional to 171,638,784,879.70, 257,458,177,319.55 and 171,638,784,879.70

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Solution

The fourth proportional to 171,638,784,879.70, 257,458,177,319.55 and 171,638,784,879.70 is: 257,458,177,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,638,784,879.70 : 257,458,177,319.55 = 171,638,784,879.70 : x
  2. Step 2: Convert to fraction form
    171,638,784,879.70/257,458,177,319.55 = 171,638,784,879.70/x
  3. Step 3: Cross multiply
    171,638,784,879.70x = 257,458,177,319.55 × 171,638,784,879.70
  4. Step 4: Simplify right side
    171,638,784,879.70x = 44,189,808,712,469,897,543,680
  5. Step 5: Solve for x
    x = 44,189,808,712,469,897,543,680/171,638,784,879.70
  6. Step 6: Final answer
    x = 257,458,177,319.55

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Double scale
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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.