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Finding the Fourth Proportional to 18,649,232,523.15, 27,973,848,784.73 and 18,649,232,523.15

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Solution

The fourth proportional to 18,649,232,523.15, 27,973,848,784.73 and 18,649,232,523.15 is: 27,973,848,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,649,232,523.15 : 27,973,848,784.73 = 18,649,232,523.15 : x
  2. Step 2: Convert to fraction form
    18,649,232,523.15/27,973,848,784.73 = 18,649,232,523.15/x
  3. Step 3: Cross multiply
    18,649,232,523.15x = 27,973,848,784.73 × 18,649,232,523.15
  4. Step 4: Simplify right side
    18,649,232,523.15x = 521,690,810,553,773,588,480
  5. Step 5: Solve for x
    x = 521,690,810,553,773,588,480/18,649,232,523.15
  6. Step 6: Final answer
    x = 27,973,848,784.73

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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.