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Finding the Fourth Proportional to 171,950,688,002.20, 257,926,032,003.30 and 171,950,688,002.20

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Solution

The fourth proportional to 171,950,688,002.20, 257,926,032,003.30 and 171,950,688,002.20 is: 257,926,032,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,950,688,002.20 : 257,926,032,003.30 = 171,950,688,002.20 : x
  2. Step 2: Convert to fraction form
    171,950,688,002.20/257,926,032,003.30 = 171,950,688,002.20/x
  3. Step 3: Cross multiply
    171,950,688,002.20x = 257,926,032,003.30 × 171,950,688,002.20
  4. Step 4: Simplify right side
    171,950,688,002.20x = 44,350,558,656,644,893,376,512
  5. Step 5: Solve for x
    x = 44,350,558,656,644,893,376,512/171,950,688,002.20
  6. Step 6: Final answer
    x = 257,926,032,003.30

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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.