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Finding the Fourth Proportional to 217,038,327.80, 325,557,491.70 and 200,410,129.40

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Solution

The fourth proportional to 217,038,327.80, 325,557,491.70 and 200,410,129.40 is: 300,615,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,038,327.80 : 325,557,491.70 = 200,410,129.40 : x
  2. Step 2: Convert to fraction form
    217,038,327.80/325,557,491.70 = 200,410,129.40/x
  3. Step 3: Cross multiply
    217,038,327.80x = 325,557,491.70 × 200,410,129.40
  4. Step 4: Simplify right side
    217,038,327.80x = 65,245,019,038,736,424
  5. Step 5: Solve for x
    x = 65,245,019,038,736,424/217,038,327.80
  6. Step 6: Final answer
    x = 300,615,194.10

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1.5x scale

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.