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Finding the Fourth Proportional to 598,879,768.80, 896,807,998.80 and 393,294,770.40

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Solution

The fourth proportional to 598,879,768.80, 896,807,998.80 and 393,294,770.40 is: 588,949,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,879,768.80 : 896,807,998.80 = 393,294,770.40 : x
  2. Step 2: Convert to fraction form
    598,879,768.80/896,807,998.80 = 393,294,770.40/x
  3. Step 3: Cross multiply
    598,879,768.80x = 896,807,998.80 × 393,294,770.40
  4. Step 4: Simplify right side
    598,879,768.80x = 352,709,895,980,929,408
  5. Step 5: Solve for x
    x = 352,709,895,980,929,408/598,879,768.80
  6. Step 6: Final answer
    x = 588,949,425.84

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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.