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Finding the Fourth Proportional to 204,820,572,377.70, 307,230,858,566.55 and 204,820,572,377.70

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Solution

The fourth proportional to 204,820,572,377.70, 307,230,858,566.55 and 204,820,572,377.70 is: 307,230,858,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,820,572,377.70 : 307,230,858,566.55 = 204,820,572,377.70 : x
  2. Step 2: Convert to fraction form
    204,820,572,377.70/307,230,858,566.55 = 204,820,572,377.70/x
  3. Step 3: Cross multiply
    204,820,572,377.70x = 307,230,858,566.55 × 204,820,572,377.70
  4. Step 4: Simplify right side
    204,820,572,377.70x = 62,927,200,303,692,969,410,560
  5. Step 5: Solve for x
    x = 62,927,200,303,692,969,410,560/204,820,572,377.70
  6. Step 6: Final answer
    x = 307,230,858,566.55

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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.