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Finding the Fourth Proportional to 81,840,384,251.20, 114,692,633,009.60 and 81,840,384,251.20

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Solution

The fourth proportional to 81,840,384,251.20, 114,692,633,009.60 and 81,840,384,251.20 is: 114,692,633,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,840,384,251.20 : 114,692,633,009.60 = 81,840,384,251.20 : x
  2. Step 2: Convert to fraction form
    81,840,384,251.20/114,692,633,009.60 = 81,840,384,251.20/x
  3. Step 3: Cross multiply
    81,840,384,251.20x = 114,692,633,009.60 × 81,840,384,251.20
  4. Step 4: Simplify right side
    81,840,384,251.20x = 9,386,489,156,287,529,484,288
  5. Step 5: Solve for x
    x = 9,386,489,156,287,529,484,288/81,840,384,251.20
  6. Step 6: Final answer
    x = 114,692,633,009.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.