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Finding the Fourth Proportional to 201,744,009.10, 302,616,013.65 and 201,744,009.10

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Solution

The fourth proportional to 201,744,009.10, 302,616,013.65 and 201,744,009.10 is: 302,616,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,744,009.10 : 302,616,013.65 = 201,744,009.10 : x
  2. Step 2: Convert to fraction form
    201,744,009.10/302,616,013.65 = 201,744,009.10/x
  3. Step 3: Cross multiply
    201,744,009.10x = 302,616,013.65 × 201,744,009.10
  4. Step 4: Simplify right side
    201,744,009.10x = 61,050,967,811,611,320
  5. Step 5: Solve for x
    x = 61,050,967,811,611,320/201,744,009.10
  6. Step 6: Final answer
    x = 302,616,013.65

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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.