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Finding the Fourth Proportional to 204,820,572,419.70, 307,230,858,629.55 and 204,820,572,419.70

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Solution

The fourth proportional to 204,820,572,419.70, 307,230,858,629.55 and 204,820,572,419.70 is: 307,230,858,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,820,572,419.70 : 307,230,858,629.55 = 204,820,572,419.70 : x
  2. Step 2: Convert to fraction form
    204,820,572,419.70/307,230,858,629.55 = 204,820,572,419.70/x
  3. Step 3: Cross multiply
    204,820,572,419.70x = 307,230,858,629.55 × 204,820,572,419.70
  4. Step 4: Simplify right side
    204,820,572,419.70x = 62,927,200,329,500,362,539,008
  5. Step 5: Solve for x
    x = 62,927,200,329,500,362,539,008/204,820,572,419.70
  6. Step 6: Final answer
    x = 307,230,858,629.55

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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.