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Finding the Fourth Proportional to 48,892,735,175.70, 73,339,102,763.55 and 48,892,735,175.70

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Solution

The fourth proportional to 48,892,735,175.70, 73,339,102,763.55 and 48,892,735,175.70 is: 73,339,102,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,892,735,175.70 : 73,339,102,763.55 = 48,892,735,175.70 : x
  2. Step 2: Convert to fraction form
    48,892,735,175.70/73,339,102,763.55 = 48,892,735,175.70/x
  3. Step 3: Cross multiply
    48,892,735,175.70x = 73,339,102,763.55 × 48,892,735,175.70
  4. Step 4: Simplify right side
    48,892,735,175.70x = 3,585,749,329,441,698,349,056
  5. Step 5: Solve for x
    x = 3,585,749,329,441,698,349,056/48,892,735,175.70
  6. Step 6: Final answer
    x = 73,339,102,763.55

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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.