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Finding the Fourth Proportional to 198,288,045.68, 297,432,068.51 and 198,288,045.68

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Solution

The fourth proportional to 198,288,045.68, 297,432,068.51 and 198,288,045.68 is: 297,432,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,288,045.68 : 297,432,068.51 = 198,288,045.68 : x
  2. Step 2: Convert to fraction form
    198,288,045.68/297,432,068.51 = 198,288,045.68/x
  3. Step 3: Cross multiply
    198,288,045.68x = 297,432,068.51 × 198,288,045.68
  4. Step 4: Simplify right side
    198,288,045.68x = 58,977,223,586,416,328
  5. Step 5: Solve for x
    x = 58,977,223,586,416,328/198,288,045.68
  6. Step 6: Final answer
    x = 297,432,068.51

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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.