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Finding the Fourth Proportional to 606,397,009.40, 909,595,514.10 and 542,907,524.60

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Solution

The fourth proportional to 606,397,009.40, 909,595,514.10 and 542,907,524.60 is: 814,361,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,397,009.40 : 909,595,514.10 = 542,907,524.60 : x
  2. Step 2: Convert to fraction form
    606,397,009.40/909,595,514.10 = 542,907,524.60/x
  3. Step 3: Cross multiply
    606,397,009.40x = 909,595,514.10 × 542,907,524.60
  4. Step 4: Simplify right side
    606,397,009.40x = 493,826,248,947,295,424
  5. Step 5: Solve for x
    x = 493,826,248,947,295,424/606,397,009.40
  6. Step 6: Final answer
    x = 814,361,286.90

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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.