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Finding the Fourth Proportional to 201,204,004.30, 301,806,006.45 and 201,204,004.30

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Solution

The fourth proportional to 201,204,004.30, 301,806,006.45 and 201,204,004.30 is: 301,806,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204,004.30 : 301,806,006.45 = 201,204,004.30 : x
  2. Step 2: Convert to fraction form
    201,204,004.30/301,806,006.45 = 201,204,004.30/x
  3. Step 3: Cross multiply
    201,204,004.30x = 301,806,006.45 × 201,204,004.30
  4. Step 4: Simplify right side
    201,204,004.30x = 60,724,577,019,531,632
  5. Step 5: Solve for x
    x = 60,724,577,019,531,632/201,204,004.30
  6. Step 6: Final answer
    x = 301,806,006.45

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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.