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Finding the Fourth Proportional to 308,599,593,252.80, 462,899,389,879.20 and 308,599,593,252.80

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Solution

The fourth proportional to 308,599,593,252.80, 462,899,389,879.20 and 308,599,593,252.80 is: 462,899,389,879.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,599,593,252.80 : 462,899,389,879.20 = 308,599,593,252.80 : x
  2. Step 2: Convert to fraction form
    308,599,593,252.80/462,899,389,879.20 = 308,599,593,252.80/x
  3. Step 3: Cross multiply
    308,599,593,252.80x = 462,899,389,879.20 × 308,599,593,252.80
  4. Step 4: Simplify right side
    308,599,593,252.80x = 142,850,563,433,690,407,370,752
  5. Step 5: Solve for x
    x = 142,850,563,433,690,407,370,752/308,599,593,252.80
  6. Step 6: Final answer
    x = 462,899,389,879.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.