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Finding the Fourth Proportional to 6,540,377,469.40, 9,810,566,204.10 and 6,540,377,469.40

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Solution

The fourth proportional to 6,540,377,469.40, 9,810,566,204.10 and 6,540,377,469.40 is: 9,810,566,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540,377,469.40 : 9,810,566,204.10 = 6,540,377,469.40 : x
  2. Step 2: Convert to fraction form
    6,540,377,469.40/9,810,566,204.10 = 6,540,377,469.40/x
  3. Step 3: Cross multiply
    6,540,377,469.40x = 9,810,566,204.10 × 6,540,377,469.40
  4. Step 4: Simplify right side
    6,540,377,469.40x = 64,164,806,163,352,723,456
  5. Step 5: Solve for x
    x = 64,164,806,163,352,723,456/6,540,377,469.40
  6. Step 6: Final answer
    x = 9,810,566,204.10

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1.5x scale

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.