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Finding the Fourth Proportional to 22,846,733,999.90, 34,205,603,745.45 and 22,846,733,999.90

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Solution

The fourth proportional to 22,846,733,999.90, 34,205,603,745.45 and 22,846,733,999.90 is: 34,205,603,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846,733,999.90 : 34,205,603,745.45 = 22,846,733,999.90 : x
  2. Step 2: Convert to fraction form
    22,846,733,999.90/34,205,603,745.45 = 22,846,733,999.90/x
  3. Step 3: Cross multiply
    22,846,733,999.90x = 34,205,603,745.45 × 22,846,733,999.90
  4. Step 4: Simplify right side
    22,846,733,999.90x = 781,486,330,078,279,368,704
  5. Step 5: Solve for x
    x = 781,486,330,078,279,368,704/22,846,733,999.90
  6. Step 6: Final answer
    x = 34,205,603,745.45

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1.5x scale

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.