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Finding the Fourth Proportional to 255,469,645.68, 352,548,253.00 and 137,994,977.06

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Solution

The fourth proportional to 255,469,645.68, 352,548,253.00 and 137,994,977.06 is: 190,433,145.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,469,645.68 : 352,548,253.00 = 137,994,977.06 : x
  2. Step 2: Convert to fraction form
    255,469,645.68/352,548,253.00 = 137,994,977.06/x
  3. Step 3: Cross multiply
    255,469,645.68x = 352,548,253.00 × 137,994,977.06
  4. Step 4: Simplify right side
    255,469,645.68x = 48,649,888,085,009,888
  5. Step 5: Solve for x
    x = 48,649,888,085,009,888/255,469,645.68
  6. Step 6: Final answer
    x = 190,433,145.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.