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Finding the Fourth Proportional to 201,782,550.90, 302,195,529.45 and 201,782,550.90

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Solution

The fourth proportional to 201,782,550.90, 302,195,529.45 and 201,782,550.90 is: 302,195,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,782,550.90 : 302,195,529.45 = 201,782,550.90 : x
  2. Step 2: Convert to fraction form
    201,782,550.90/302,195,529.45 = 201,782,550.90/x
  3. Step 3: Cross multiply
    201,782,550.90x = 302,195,529.45 × 201,782,550.90
  4. Step 4: Simplify right side
    201,782,550.90x = 60,977,784,802,997,072
  5. Step 5: Solve for x
    x = 60,977,784,802,997,072/201,782,550.90
  6. Step 6: Final answer
    x = 302,195,529.45

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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.