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Finding the Fourth Proportional to 411,598,183.86, 616,927,639.14 and 165,797,535.96

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Solution

The fourth proportional to 411,598,183.86, 616,927,639.14 and 165,797,535.96 is: 248,507,127.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,598,183.86 : 616,927,639.14 = 165,797,535.96 : x
  2. Step 2: Convert to fraction form
    411,598,183.86/616,927,639.14 = 165,797,535.96/x
  3. Step 3: Cross multiply
    411,598,183.86x = 616,927,639.14 × 165,797,535.96
  4. Step 4: Simplify right side
    411,598,183.86x = 102,285,082,435,032,064
  5. Step 5: Solve for x
    x = 102,285,082,435,032,064/411,598,183.86
  6. Step 6: Final answer
    x = 248,507,127.69

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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.