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Finding the Fourth Proportional to 81,736,857,048.10, 122,605,285,572.15 and 81,736,857,048.10

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Solution

The fourth proportional to 81,736,857,048.10, 122,605,285,572.15 and 81,736,857,048.10 is: 122,605,285,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,736,857,048.10 : 122,605,285,572.15 = 81,736,857,048.10 : x
  2. Step 2: Convert to fraction form
    81,736,857,048.10/122,605,285,572.15 = 81,736,857,048.10/x
  3. Step 3: Cross multiply
    81,736,857,048.10x = 122,605,285,572.15 × 81,736,857,048.10
  4. Step 4: Simplify right side
    81,736,857,048.10x = 10,021,370,700,152,302,469,120
  5. Step 5: Solve for x
    x = 10,021,370,700,152,302,469,120/81,736,857,048.10
  6. Step 6: Final answer
    x = 122,605,285,572.15

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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.