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Finding the Fourth Proportional to 16,530,804,564.65, 24,796,206,846.98 and 16,530,804,564.65

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Solution

The fourth proportional to 16,530,804,564.65, 24,796,206,846.98 and 16,530,804,564.65 is: 24,796,206,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530,804,564.65 : 24,796,206,846.98 = 16,530,804,564.65 : x
  2. Step 2: Convert to fraction form
    16,530,804,564.65/24,796,206,846.98 = 16,530,804,564.65/x
  3. Step 3: Cross multiply
    16,530,804,564.65x = 24,796,206,846.98 × 16,530,804,564.65
  4. Step 4: Simplify right side
    16,530,804,564.65x = 409,901,249,332,062,519,296
  5. Step 5: Solve for x
    x = 409,901,249,332,062,519,296/16,530,804,564.65
  6. Step 6: Final answer
    x = 24,796,206,846.98

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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.