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Finding the Fourth Proportional to 186,948,110.40, 280,422,165.60 and 186,948,110.40

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Solution

The fourth proportional to 186,948,110.40, 280,422,165.60 and 186,948,110.40 is: 280,422,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,948,110.40 : 280,422,165.60 = 186,948,110.40 : x
  2. Step 2: Convert to fraction form
    186,948,110.40/280,422,165.60 = 186,948,110.40/x
  3. Step 3: Cross multiply
    186,948,110.40x = 280,422,165.60 × 186,948,110.40
  4. Step 4: Simplify right side
    186,948,110.40x = 52,424,393,973,195,888
  5. Step 5: Solve for x
    x = 52,424,393,973,195,888/186,948,110.40
  6. Step 6: Final answer
    x = 280,422,165.60

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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.