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Finding the Fourth Proportional to 39,856,745.20, 59,678,829.60 and 39,856,745.20

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Solution

The fourth proportional to 39,856,745.20, 59,678,829.60 and 39,856,745.20 is: 59,678,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,856,745.20 : 59,678,829.60 = 39,856,745.20 : x
  2. Step 2: Convert to fraction form
    39,856,745.20/59,678,829.60 = 39,856,745.20/x
  3. Step 3: Cross multiply
    39,856,745.20x = 59,678,829.60 × 39,856,745.20
  4. Step 4: Simplify right side
    39,856,745.20x = 2,378,603,905,201,418
  5. Step 5: Solve for x
    x = 2,378,603,905,201,418/39,856,745.20
  6. Step 6: Final answer
    x = 59,678,829.60

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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.