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Finding the Fourth Proportional to 13,648,522,166.35, 20,472,783,249.53 and 13,648,522,166.35

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Solution

The fourth proportional to 13,648,522,166.35, 20,472,783,249.53 and 13,648,522,166.35 is: 20,472,783,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648,522,166.35 : 20,472,783,249.53 = 13,648,522,166.35 : x
  2. Step 2: Convert to fraction form
    13,648,522,166.35/20,472,783,249.53 = 13,648,522,166.35/x
  3. Step 3: Cross multiply
    13,648,522,166.35x = 20,472,783,249.53 × 13,648,522,166.35
  4. Step 4: Simplify right side
    13,648,522,166.35x = 279,423,235,988,089,176,064
  5. Step 5: Solve for x
    x = 279,423,235,988,089,176,064/13,648,522,166.35
  6. Step 6: Final answer
    x = 20,472,783,249.53

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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.