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Finding the Fourth Proportional to 76,644,993.60, 114,967,490.40 and 49,435,214.40

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Solution

The fourth proportional to 76,644,993.60, 114,967,490.40 and 49,435,214.40 is: 74,152,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,644,993.60 : 114,967,490.40 = 49,435,214.40 : x
  2. Step 2: Convert to fraction form
    76,644,993.60/114,967,490.40 = 49,435,214.40/x
  3. Step 3: Cross multiply
    76,644,993.60x = 114,967,490.40 × 49,435,214.40
  4. Step 4: Simplify right side
    76,644,993.60x = 5,683,442,536,953,942
  5. Step 5: Solve for x
    x = 5,683,442,536,953,942/76,644,993.60
  6. Step 6: Final answer
    x = 74,152,821.60

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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.