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Finding the Fourth Proportional to 488,667,665.80, 733,001,498.70 and 402,574,223.80

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Solution

The fourth proportional to 488,667,665.80, 733,001,498.70 and 402,574,223.80 is: 603,861,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,667,665.80 : 733,001,498.70 = 402,574,223.80 : x
  2. Step 2: Convert to fraction form
    488,667,665.80/733,001,498.70 = 402,574,223.80/x
  3. Step 3: Cross multiply
    488,667,665.80x = 733,001,498.70 × 402,574,223.80
  4. Step 4: Simplify right side
    488,667,665.80x = 295,087,509,383,389,248
  5. Step 5: Solve for x
    x = 295,087,509,383,389,248/488,667,665.80
  6. Step 6: Final answer
    x = 603,861,335.70

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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.