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Finding the Fourth Proportional to 182,024,005.30, 273,036,007.95 and 182,024,005.30

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Solution

The fourth proportional to 182,024,005.30, 273,036,007.95 and 182,024,005.30 is: 273,036,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,024,005.30 : 273,036,007.95 = 182,024,005.30 : x
  2. Step 2: Convert to fraction form
    182,024,005.30/273,036,007.95 = 182,024,005.30/x
  3. Step 3: Cross multiply
    182,024,005.30x = 273,036,007.95 × 182,024,005.30
  4. Step 4: Simplify right side
    182,024,005.30x = 49,699,107,758,181,640
  5. Step 5: Solve for x
    x = 49,699,107,758,181,640/182,024,005.30
  6. Step 6: Final answer
    x = 273,036,007.95

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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.