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Finding the Fourth Proportional to 413,722,564.80, 620,534,080.80 and 171,360,196.80

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Solution

The fourth proportional to 413,722,564.80, 620,534,080.80 and 171,360,196.80 is: 257,019,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,722,564.80 : 620,534,080.80 = 171,360,196.80 : x
  2. Step 2: Convert to fraction form
    413,722,564.80/620,534,080.80 = 171,360,196.80/x
  3. Step 3: Cross multiply
    413,722,564.80x = 620,534,080.80 × 171,360,196.80
  4. Step 4: Simplify right side
    413,722,564.80x = 106,334,842,206,995,104
  5. Step 5: Solve for x
    x = 106,334,842,206,995,104/413,722,564.80
  6. Step 6: Final answer
    x = 257,019,682.40

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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.