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Finding the Fourth Proportional to 48,892,767,964.65, 73,339,151,946.98 and 48,892,767,964.65

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Solution

The fourth proportional to 48,892,767,964.65, 73,339,151,946.98 and 48,892,767,964.65 is: 73,339,151,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,892,767,964.65 : 73,339,151,946.98 = 48,892,767,964.65 : x
  2. Step 2: Convert to fraction form
    48,892,767,964.65/73,339,151,946.98 = 48,892,767,964.65/x
  3. Step 3: Cross multiply
    48,892,767,964.65x = 73,339,151,946.98 × 48,892,767,964.65
  4. Step 4: Simplify right side
    48,892,767,964.65x = 3,585,754,138,867,658,129,408
  5. Step 5: Solve for x
    x = 3,585,754,138,867,658,129,408/48,892,767,964.65
  6. Step 6: Final answer
    x = 73,339,151,946.98

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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.