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Finding the Fourth Proportional to 81,616,898,619.20, 122,231,856,165.60 and 81,616,898,619.20

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Solution

The fourth proportional to 81,616,898,619.20, 122,231,856,165.60 and 81,616,898,619.20 is: 122,231,856,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,616,898,619.20 : 122,231,856,165.60 = 81,616,898,619.20 : x
  2. Step 2: Convert to fraction form
    81,616,898,619.20/122,231,856,165.60 = 81,616,898,619.20/x
  3. Step 3: Cross multiply
    81,616,898,619.20x = 122,231,856,165.60 × 81,616,898,619.20
  4. Step 4: Simplify right side
    81,616,898,619.20x = 9,976,185,012,704,411,385,856
  5. Step 5: Solve for x
    x = 9,976,185,012,704,411,385,856/81,616,898,619.20
  6. Step 6: Final answer
    x = 122,231,856,165.60

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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.