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Finding the Fourth Proportional to 133,571,235,057.90, 200,356,852,586.85 and 133,571,235,057.90

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Solution

The fourth proportional to 133,571,235,057.90, 200,356,852,586.85 and 133,571,235,057.90 is: 200,356,852,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,571,235,057.90 : 200,356,852,586.85 = 133,571,235,057.90 : x
  2. Step 2: Convert to fraction form
    133,571,235,057.90/200,356,852,586.85 = 133,571,235,057.90/x
  3. Step 3: Cross multiply
    133,571,235,057.90x = 200,356,852,586.85 × 133,571,235,057.90
  4. Step 4: Simplify right side
    133,571,235,057.90x = 26,761,912,252,339,161,399,296
  5. Step 5: Solve for x
    x = 26,761,912,252,339,161,399,296/133,571,235,057.90
  6. Step 6: Final answer
    x = 200,356,852,586.85

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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.