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Finding the Fourth Proportional to 200,216,430.40, 300,324,645.60 and 177,541,614.40

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Solution

The fourth proportional to 200,216,430.40, 300,324,645.60 and 177,541,614.40 is: 266,312,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,216,430.40 : 300,324,645.60 = 177,541,614.40 : x
  2. Step 2: Convert to fraction form
    200,216,430.40/300,324,645.60 = 177,541,614.40/x
  3. Step 3: Cross multiply
    200,216,430.40x = 300,324,645.60 × 177,541,614.40
  4. Step 4: Simplify right side
    200,216,430.40x = 53,320,122,423,931,864
  5. Step 5: Solve for x
    x = 53,320,122,423,931,864/200,216,430.40
  6. Step 6: Final answer
    x = 266,312,421.60

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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.