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Finding the Fourth Proportional to 13,078,356,228,049, 19,617,534,342,073 and 13,078,356,228,049

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Solution

The fourth proportional to 13,078,356,228,049, 19,617,534,342,073 and 13,078,356,228,049 is: 19,617,534,342,073

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078,356,228,049 : 19,617,534,342,073 = 13,078,356,228,049 : x
  2. Step 2: Convert to fraction form
    13,078,356,228,049/19,617,534,342,073 = 13,078,356,228,049/x
  3. Step 3: Cross multiply
    13,078,356,228,049x = 19,617,534,342,073 × 13,078,356,228,049
  4. Step 4: Simplify right side
    13,078,356,228,049x = 256,565,102,441,615,572,380,680,192
  5. Step 5: Solve for x
    x = 256,565,102,441,615,572,380,680,192/13,078,356,228,049
  6. Step 6: Final answer
    x = 19,617,534,342,073

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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.