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Finding the Fourth Proportional to 3,686,770,302,783, 5,530,155,454,175.10 and 3,686,770,302,783

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Solution

The fourth proportional to 3,686,770,302,783, 5,530,155,454,175.10 and 3,686,770,302,783 is: 5,530,155,454,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,770,302,783 : 5,530,155,454,175.10 = 3,686,770,302,783 : x
  2. Step 2: Convert to fraction form
    3,686,770,302,783/5,530,155,454,175.10 = 3,686,770,302,783/x
  3. Step 3: Cross multiply
    3,686,770,302,783x = 5,530,155,454,175.10 × 3,686,770,302,783
  4. Step 4: Simplify right side
    3,686,770,302,783x = 20,388,412,898,226,192,779,313,152
  5. Step 5: Solve for x
    x = 20,388,412,898,226,192,779,313,152/3,686,770,302,783
  6. Step 6: Final answer
    x = 5,530,155,454,175.10

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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.