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Finding the Fourth Proportional to 7,102,701,757.70, 9,960,108,328.30 and 7,102,701,757.70

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Solution

The fourth proportional to 7,102,701,757.70, 9,960,108,328.30 and 7,102,701,757.70 is: 9,960,108,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102,701,757.70 : 9,960,108,328.30 = 7,102,701,757.70 : x
  2. Step 2: Convert to fraction form
    7,102,701,757.70/9,960,108,328.30 = 7,102,701,757.70/x
  3. Step 3: Cross multiply
    7,102,701,757.70x = 9,960,108,328.30 × 7,102,701,757.70
  4. Step 4: Simplify right side
    7,102,701,757.70x = 70,743,678,930,298,814,464
  5. Step 5: Solve for x
    x = 70,743,678,930,298,814,464/7,102,701,757.70
  6. Step 6: Final answer
    x = 9,960,108,328.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.