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Finding the Fourth Proportional to 48,892,734,943.65, 73,339,102,415.48 and 48,892,734,943.65

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Solution

The fourth proportional to 48,892,734,943.65, 73,339,102,415.48 and 48,892,734,943.65 is: 73,339,102,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,892,734,943.65 : 73,339,102,415.48 = 48,892,734,943.65 : x
  2. Step 2: Convert to fraction form
    48,892,734,943.65/73,339,102,415.48 = 48,892,734,943.65/x
  3. Step 3: Cross multiply
    48,892,734,943.65x = 73,339,102,415.48 × 48,892,734,943.65
  4. Step 4: Simplify right side
    48,892,734,943.65x = 3,585,749,295,405,021,003,776
  5. Step 5: Solve for x
    x = 3,585,749,295,405,021,003,776/48,892,734,943.65
  6. Step 6: Final answer
    x = 73,339,102,415.48

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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.