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Finding the Fourth Proportional to 398,680,803.70, 598,021,205.55 and 398,680,803.70

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Solution

The fourth proportional to 398,680,803.70, 598,021,205.55 and 398,680,803.70 is: 598,021,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,680,803.70 : 598,021,205.55 = 398,680,803.70 : x
  2. Step 2: Convert to fraction form
    398,680,803.70/598,021,205.55 = 398,680,803.70/x
  3. Step 3: Cross multiply
    398,680,803.70x = 598,021,205.55 × 398,680,803.70
  4. Step 4: Simplify right side
    398,680,803.70x = 238,419,574,858,316,864
  5. Step 5: Solve for x
    x = 238,419,574,858,316,864/398,680,803.70
  6. Step 6: Final answer
    x = 598,021,205.55

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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.