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Finding the Fourth Proportional to 677,123,253, 1,015,697,481.48 and 192,461,658.12

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Solution

The fourth proportional to 677,123,253, 1,015,697,481.48 and 192,461,658.12 is: 288,696,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,123,253 : 1,015,697,481.48 = 192,461,658.12 : x
  2. Step 2: Convert to fraction form
    677,123,253/1,015,697,481.48 = 192,461,658.12/x
  3. Step 3: Cross multiply
    677,123,253x = 1,015,697,481.48 × 192,461,658.12
  4. Step 4: Simplify right side
    677,123,253x = 195,482,821,433,948,800
  5. Step 5: Solve for x
    x = 195,482,821,433,948,800/677,123,253
  6. Step 6: Final answer
    x = 288,696,069.10

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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.