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Finding the Fourth Proportional to 48,892,734,934.40, 73,339,102,401.60 and 48,892,734,934.40

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Solution

The fourth proportional to 48,892,734,934.40, 73,339,102,401.60 and 48,892,734,934.40 is: 73,339,102,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,892,734,934.40 : 73,339,102,401.60 = 48,892,734,934.40 : x
  2. Step 2: Convert to fraction form
    48,892,734,934.40/73,339,102,401.60 = 48,892,734,934.40/x
  3. Step 3: Cross multiply
    48,892,734,934.40x = 73,339,102,401.60 × 48,892,734,934.40
  4. Step 4: Simplify right side
    48,892,734,934.40x = 3,585,749,294,048,247,545,856
  5. Step 5: Solve for x
    x = 3,585,749,294,048,247,545,856/48,892,734,934.40
  6. Step 6: Final answer
    x = 73,339,102,401.60

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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.