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Finding the Fourth Proportional to 356,279,291,207.90, 534,418,936,811.85 and 356,279,291,207.90

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Solution

The fourth proportional to 356,279,291,207.90, 534,418,936,811.85 and 356,279,291,207.90 is: 534,418,936,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,279,291,207.90 : 534,418,936,811.85 = 356,279,291,207.90 : x
  2. Step 2: Convert to fraction form
    356,279,291,207.90/534,418,936,811.85 = 356,279,291,207.90/x
  3. Step 3: Cross multiply
    356,279,291,207.90x = 534,418,936,811.85 × 356,279,291,207.90
  4. Step 4: Simplify right side
    356,279,291,207.90x = 190,402,400,015,405,411,205,120
  5. Step 5: Solve for x
    x = 190,402,400,015,405,411,205,120/356,279,291,207.90
  6. Step 6: Final answer
    x = 534,418,936,811.85

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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.