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Finding the Fourth Proportional to 298,701,658.20, 447,521,645.70 and 256,234,330.20

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Solution

The fourth proportional to 298,701,658.20, 447,521,645.70 and 256,234,330.20 is: 383,896,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,701,658.20 : 447,521,645.70 = 256,234,330.20 : x
  2. Step 2: Convert to fraction form
    298,701,658.20/447,521,645.70 = 256,234,330.20/x
  3. Step 3: Cross multiply
    298,701,658.20x = 447,521,645.70 × 256,234,330.20
  4. Step 4: Simplify right side
    298,701,658.20x = 114,670,409,135,941,200
  5. Step 5: Solve for x
    x = 114,670,409,135,941,200/298,701,658.20
  6. Step 6: Final answer
    x = 383,896,125.07

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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.