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Finding the Fourth Proportional to 402,409,178.40, 603,613,767.60 and 387,103,677.60

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Solution

The fourth proportional to 402,409,178.40, 603,613,767.60 and 387,103,677.60 is: 580,655,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,409,178.40 : 603,613,767.60 = 387,103,677.60 : x
  2. Step 2: Convert to fraction form
    402,409,178.40/603,613,767.60 = 387,103,677.60/x
  3. Step 3: Cross multiply
    402,409,178.40x = 603,613,767.60 × 387,103,677.60
  4. Step 4: Simplify right side
    402,409,178.40x = 233,661,109,287,951,744
  5. Step 5: Solve for x
    x = 233,661,109,287,951,744/402,409,178.40
  6. Step 6: Final answer
    x = 580,655,516.40

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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.