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Finding the Fourth Proportional to 13,648,522,098.04, 20,472,783,147.07 and 13,648,522,098.04

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Solution

The fourth proportional to 13,648,522,098.04, 20,472,783,147.07 and 13,648,522,098.04 is: 20,472,783,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648,522,098.04 : 20,472,783,147.07 = 13,648,522,098.04 : x
  2. Step 2: Convert to fraction form
    13,648,522,098.04/20,472,783,147.07 = 13,648,522,098.04/x
  3. Step 3: Cross multiply
    13,648,522,098.04x = 20,472,783,147.07 × 13,648,522,098.04
  4. Step 4: Simplify right side
    13,648,522,098.04x = 279,423,233,191,077,085,184
  5. Step 5: Solve for x
    x = 279,423,233,191,077,085,184/13,648,522,098.04
  6. Step 6: Final answer
    x = 20,472,783,147.07

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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.