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Finding the Fourth Proportional to 13,648,522,101.98, 20,472,783,152.97 and 13,648,522,101.98

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Solution

The fourth proportional to 13,648,522,101.98, 20,472,783,152.97 and 13,648,522,101.98 is: 20,472,783,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648,522,101.98 : 20,472,783,152.97 = 13,648,522,101.98 : x
  2. Step 2: Convert to fraction form
    13,648,522,101.98/20,472,783,152.97 = 13,648,522,101.98/x
  3. Step 3: Cross multiply
    13,648,522,101.98x = 20,472,783,152.97 × 13,648,522,101.98
  4. Step 4: Simplify right side
    13,648,522,101.98x = 279,423,233,352,252,489,728
  5. Step 5: Solve for x
    x = 279,423,233,352,252,489,728/13,648,522,101.98
  6. Step 6: Final answer
    x = 20,472,783,152.97

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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.