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Finding the Fourth Proportional to 8,013,502,247,000.10, 12,020,253,370,500 and 8,013,502,247,000.10

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Solution

The fourth proportional to 8,013,502,247,000.10, 12,020,253,370,500 and 8,013,502,247,000.10 is: 12,020,253,370,500

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013,502,247,000.10 : 12,020,253,370,500 = 8,013,502,247,000.10 : x
  2. Step 2: Convert to fraction form
    8,013,502,247,000.10/12,020,253,370,500 = 8,013,502,247,000.10/x
  3. Step 3: Cross multiply
    8,013,502,247,000.10x = 12,020,253,370,500 × 8,013,502,247,000.10
  4. Step 4: Simplify right side
    8,013,502,247,000.10x = 96,324,327,394,012,272,655,335,424
  5. Step 5: Solve for x
    x = 96,324,327,394,012,272,655,335,424/8,013,502,247,000.10
  6. Step 6: Final answer
    x = 12,020,253,370,500

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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.