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Finding the Fourth Proportional to 419,908,205.60, 629,673,351.60 and 161,037,389.60

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Solution

The fourth proportional to 419,908,205.60, 629,673,351.60 and 161,037,389.60 is: 241,483,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,908,205.60 : 629,673,351.60 = 161,037,389.60 : x
  2. Step 2: Convert to fraction form
    419,908,205.60/629,673,351.60 = 161,037,389.60/x
  3. Step 3: Cross multiply
    419,908,205.60x = 629,673,351.60 × 161,037,389.60
  4. Step 4: Simplify right side
    419,908,205.60x = 101,400,952,842,346,976
  5. Step 5: Solve for x
    x = 101,400,952,842,346,976/419,908,205.60
  6. Step 6: Final answer
    x = 241,483,618.30

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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.