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Finding the Fourth Proportional to 201,204,647.10, 301,806,970.65 and 201,204,647.10

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Solution

The fourth proportional to 201,204,647.10, 301,806,970.65 and 201,204,647.10 is: 301,806,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204,647.10 : 301,806,970.65 = 201,204,647.10 : x
  2. Step 2: Convert to fraction form
    201,204,647.10/301,806,970.65 = 201,204,647.10/x
  3. Step 3: Cross multiply
    201,204,647.10x = 301,806,970.65 × 201,204,647.10
  4. Step 4: Simplify right side
    201,204,647.10x = 60,724,965,021,953,304
  5. Step 5: Solve for x
    x = 60,724,965,021,953,304/201,204,647.10
  6. Step 6: Final answer
    x = 301,806,970.65

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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.