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Finding the Fourth Proportional to 203,635,404,334.80, 305,453,106,502.20 and 203,635,404,334.80

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Solution

The fourth proportional to 203,635,404,334.80, 305,453,106,502.20 and 203,635,404,334.80 is: 305,453,106,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,635,404,334.80 : 305,453,106,502.20 = 203,635,404,334.80 : x
  2. Step 2: Convert to fraction form
    203,635,404,334.80/305,453,106,502.20 = 203,635,404,334.80/x
  3. Step 3: Cross multiply
    203,635,404,334.80x = 305,453,106,502.20 × 203,635,404,334.80
  4. Step 4: Simplify right side
    203,635,404,334.80x = 62,201,066,847,896,220,991,488
  5. Step 5: Solve for x
    x = 62,201,066,847,896,220,991,488/203,635,404,334.80
  6. Step 6: Final answer
    x = 305,453,106,502.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.