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Finding the Fourth Proportional to 171,638,784,859.20, 257,458,177,288.80 and 171,638,784,859.20

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Solution

The fourth proportional to 171,638,784,859.20, 257,458,177,288.80 and 171,638,784,859.20 is: 257,458,177,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,638,784,859.20 : 257,458,177,288.80 = 171,638,784,859.20 : x
  2. Step 2: Convert to fraction form
    171,638,784,859.20/257,458,177,288.80 = 171,638,784,859.20/x
  3. Step 3: Cross multiply
    171,638,784,859.20x = 257,458,177,288.80 × 171,638,784,859.20
  4. Step 4: Simplify right side
    171,638,784,859.20x = 44,189,808,701,914,117,832,704
  5. Step 5: Solve for x
    x = 44,189,808,701,914,117,832,704/171,638,784,859.20
  6. Step 6: Final answer
    x = 257,458,177,288.80

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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.