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Finding the Fourth Proportional to 335,967,282,003.55, 503,950,923,005.30 and 335,967,282,003.55

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Solution

The fourth proportional to 335,967,282,003.55, 503,950,923,005.30 and 335,967,282,003.55 is: 503,950,923,005.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,967,282,003.55 : 503,950,923,005.30 = 335,967,282,003.55 : x
  2. Step 2: Convert to fraction form
    335,967,282,003.55/503,950,923,005.30 = 335,967,282,003.55/x
  3. Step 3: Cross multiply
    335,967,282,003.55x = 503,950,923,005.30 × 335,967,282,003.55
  4. Step 4: Simplify right side
    335,967,282,003.55x = 169,311,021,865,270,916,415,488
  5. Step 5: Solve for x
    x = 169,311,021,865,270,916,415,488/335,967,282,003.55
  6. Step 6: Final answer
    x = 503,950,923,005.30

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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.