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Finding the Fourth Proportional to 22,846,733,998.40, 34,205,603,743.20 and 22,846,733,998.40

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Solution

The fourth proportional to 22,846,733,998.40, 34,205,603,743.20 and 22,846,733,998.40 is: 34,205,603,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846,733,998.40 : 34,205,603,743.20 = 22,846,733,998.40 : x
  2. Step 2: Convert to fraction form
    22,846,733,998.40/34,205,603,743.20 = 22,846,733,998.40/x
  3. Step 3: Cross multiply
    22,846,733,998.40x = 34,205,603,743.20 × 22,846,733,998.40
  4. Step 4: Simplify right side
    22,846,733,998.40x = 781,486,329,975,565,844,480
  5. Step 5: Solve for x
    x = 781,486,329,975,565,844,480/22,846,733,998.40
  6. Step 6: Final answer
    x = 34,205,603,743.20

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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.