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Finding the Fourth Proportional to 645,013,672.78, 967,161,569 and 382,804,775.50

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Solution

The fourth proportional to 645,013,672.78, 967,161,569 and 382,804,775.50 is: 573,994,138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,013,672.78 : 967,161,569 = 382,804,775.50 : x
  2. Step 2: Convert to fraction form
    645,013,672.78/967,161,569 = 382,804,775.50/x
  3. Step 3: Cross multiply
    645,013,672.78x = 967,161,569 × 382,804,775.50
  4. Step 4: Simplify right side
    645,013,672.78x = 370,234,067,293,272,768
  5. Step 5: Solve for x
    x = 370,234,067,293,272,768/645,013,672.78
  6. Step 6: Final answer
    x = 573,994,138.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.