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Finding the Fourth Proportional to 330,785,153.85, 496,177,730.78 and 330,785,153.85

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Solution

The fourth proportional to 330,785,153.85, 496,177,730.78 and 330,785,153.85 is: 496,177,730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,785,153.85 : 496,177,730.78 = 330,785,153.85 : x
  2. Step 2: Convert to fraction form
    330,785,153.85/496,177,730.78 = 330,785,153.85/x
  3. Step 3: Cross multiply
    330,785,153.85x = 496,177,730.78 × 330,785,153.85
  4. Step 4: Simplify right side
    330,785,153.85x = 164,128,227,011,352,256
  5. Step 5: Solve for x
    x = 164,128,227,011,352,256/330,785,153.85
  6. Step 6: Final answer
    x = 496,177,730.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.