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Finding the Fourth Proportional to 6,540,377,433.90, 9,810,566,150.85 and 6,540,377,433.90

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Solution

The fourth proportional to 6,540,377,433.90, 9,810,566,150.85 and 6,540,377,433.90 is: 9,810,566,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540,377,433.90 : 9,810,566,150.85 = 6,540,377,433.90 : x
  2. Step 2: Convert to fraction form
    6,540,377,433.90/9,810,566,150.85 = 6,540,377,433.90/x
  3. Step 3: Cross multiply
    6,540,377,433.90x = 9,810,566,150.85 × 6,540,377,433.90
  4. Step 4: Simplify right side
    6,540,377,433.90x = 64,164,805,466,802,520,064
  5. Step 5: Solve for x
    x = 64,164,805,466,802,520,064/6,540,377,433.90
  6. Step 6: Final answer
    x = 9,810,566,150.85

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Double scale
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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.