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Finding the Fourth Proportional to 3,882,294,678, 5,823,442,017 and 1,297,365,654

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Solution

The fourth proportional to 3,882,294,678, 5,823,442,017 and 1,297,365,654 is: 1,946,048,481

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882,294,678 : 5,823,442,017 = 1,297,365,654 : x
  2. Step 2: Convert to fraction form
    3,882,294,678/5,823,442,017 = 1,297,365,654/x
  3. Step 3: Cross multiply
    3,882,294,678x = 5,823,442,017 × 1,297,365,654
  4. Step 4: Simplify right side
    3,882,294,678x = 7,555,133,660,916,284,416
  5. Step 5: Solve for x
    x = 7,555,133,660,916,284,416/3,882,294,678
  6. Step 6: Final answer
    x = 1,946,048,481

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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.