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Finding the Fourth Proportional to 8,013,502,247,179.80, 12,020,253,370,770 and 8,013,502,247,179.80

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Solution

The fourth proportional to 8,013,502,247,179.80, 12,020,253,370,770 and 8,013,502,247,179.80 is: 12,020,253,370,770

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013,502,247,179.80 : 12,020,253,370,770 = 8,013,502,247,179.80 : x
  2. Step 2: Convert to fraction form
    8,013,502,247,179.80/12,020,253,370,770 = 8,013,502,247,179.80/x
  3. Step 3: Cross multiply
    8,013,502,247,179.80x = 12,020,253,370,770 × 8,013,502,247,179.80
  4. Step 4: Simplify right side
    8,013,502,247,179.80x = 96,324,327,398,335,964,692,611,072
  5. Step 5: Solve for x
    x = 96,324,327,398,335,964,692,611,072/8,013,502,247,179.80
  6. Step 6: Final answer
    x = 12,020,253,370,770

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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.