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Finding the Fourth Proportional to 201,618,057.10, 302,427,085.65 and 201,618,057.10

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Solution

The fourth proportional to 201,618,057.10, 302,427,085.65 and 201,618,057.10 is: 302,427,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,618,057.10 : 302,427,085.65 = 201,618,057.10 : x
  2. Step 2: Convert to fraction form
    201,618,057.10/302,427,085.65 = 201,618,057.10/x
  3. Step 3: Cross multiply
    201,618,057.10x = 302,427,085.65 × 201,618,057.10
  4. Step 4: Simplify right side
    201,618,057.10x = 60,974,761,423,168,288
  5. Step 5: Solve for x
    x = 60,974,761,423,168,288/201,618,057.10
  6. Step 6: Final answer
    x = 302,427,085.65

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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.