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Finding the Fourth Proportional to 198,653,553.30, 297,980,329.95 and 198,653,553.30

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Solution

The fourth proportional to 198,653,553.30, 297,980,329.95 and 198,653,553.30 is: 297,980,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,653,553.30 : 297,980,329.95 = 198,653,553.30 : x
  2. Step 2: Convert to fraction form
    198,653,553.30/297,980,329.95 = 198,653,553.30/x
  3. Step 3: Cross multiply
    198,653,553.30x = 297,980,329.95 × 198,653,553.30
  4. Step 4: Simplify right side
    198,653,553.30x = 59,194,851,358,073,912
  5. Step 5: Solve for x
    x = 59,194,851,358,073,912/198,653,553.30
  6. Step 6: Final answer
    x = 297,980,329.95

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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.