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Finding the Fourth Proportional to 203,635,377,024.30, 305,453,065,536.45 and 203,635,377,024.30

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Solution

The fourth proportional to 203,635,377,024.30, 305,453,065,536.45 and 203,635,377,024.30 is: 305,453,065,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,635,377,024.30 : 305,453,065,536.45 = 203,635,377,024.30 : x
  2. Step 2: Convert to fraction form
    203,635,377,024.30/305,453,065,536.45 = 203,635,377,024.30/x
  3. Step 3: Cross multiply
    203,635,377,024.30x = 305,453,065,536.45 × 203,635,377,024.30
  4. Step 4: Simplify right side
    203,635,377,024.30x = 62,201,050,163,743,211,651,072
  5. Step 5: Solve for x
    x = 62,201,050,163,743,211,651,072/203,635,377,024.30
  6. Step 6: Final answer
    x = 305,453,065,536.45

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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.