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Finding the Fourth Proportional to 8,783,215,073,999.70, 13,174,822,610,999 and 8,783,215,073,999.70

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Solution

The fourth proportional to 8,783,215,073,999.70, 13,174,822,610,999 and 8,783,215,073,999.70 is: 13,174,822,610,999

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783,215,073,999.70 : 13,174,822,610,999 = 8,783,215,073,999.70 : x
  2. Step 2: Convert to fraction form
    8,783,215,073,999.70/13,174,822,610,999 = 8,783,215,073,999.70/x
  3. Step 3: Cross multiply
    8,783,215,073,999.70x = 13,174,822,610,999 × 8,783,215,073,999.70
  4. Step 4: Simplify right side
    8,783,215,073,999.70x = 115,717,300,554,198,510,840,315,904
  5. Step 5: Solve for x
    x = 115,717,300,554,198,510,840,315,904/8,783,215,073,999.70
  6. Step 6: Final answer
    x = 13,174,822,610,999

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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.