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Finding the Fourth Proportional to 402,409,167.90, 603,613,751.85 and 387,103,667.10

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Solution

The fourth proportional to 402,409,167.90, 603,613,751.85 and 387,103,667.10 is: 580,655,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,409,167.90 : 603,613,751.85 = 387,103,667.10 : x
  2. Step 2: Convert to fraction form
    402,409,167.90/603,613,751.85 = 387,103,667.10/x
  3. Step 3: Cross multiply
    402,409,167.90x = 603,613,751.85 × 387,103,667.10
  4. Step 4: Simplify right side
    402,409,167.90x = 233,661,096,853,124,448
  5. Step 5: Solve for x
    x = 233,661,096,853,124,448/402,409,167.90
  6. Step 6: Final answer
    x = 580,655,500.65

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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.