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Finding the Fourth Proportional to 171,856,404,312.80, 257,784,606,469.20 and 171,856,404,312.80

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Solution

The fourth proportional to 171,856,404,312.80, 257,784,606,469.20 and 171,856,404,312.80 is: 257,784,606,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,856,404,312.80 : 257,784,606,469.20 = 171,856,404,312.80 : x
  2. Step 2: Convert to fraction form
    171,856,404,312.80/257,784,606,469.20 = 171,856,404,312.80/x
  3. Step 3: Cross multiply
    171,856,404,312.80x = 257,784,606,469.20 × 171,856,404,312.80
  4. Step 4: Simplify right side
    171,856,404,312.80x = 44,301,935,554,986,873,192,448
  5. Step 5: Solve for x
    x = 44,301,935,554,986,873,192,448/171,856,404,312.80
  6. Step 6: Final answer
    x = 257,784,606,469.20

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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.