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Finding the Fourth Proportional to 186,861,205.40, 280,291,808.10 and 186,861,205.40

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Solution

The fourth proportional to 186,861,205.40, 280,291,808.10 and 186,861,205.40 is: 280,291,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,861,205.40 : 280,291,808.10 = 186,861,205.40 : x
  2. Step 2: Convert to fraction form
    186,861,205.40/280,291,808.10 = 186,861,205.40/x
  3. Step 3: Cross multiply
    186,861,205.40x = 280,291,808.10 × 186,861,205.40
  4. Step 4: Simplify right side
    186,861,205.40x = 52,375,665,125,311,488
  5. Step 5: Solve for x
    x = 52,375,665,125,311,488/186,861,205.40
  6. Step 6: Final answer
    x = 280,291,808.10

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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.