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Finding the Fourth Proportional to 599,221,377.60, 899,503,912.80 and 463,508,404.80

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Solution

The fourth proportional to 599,221,377.60, 899,503,912.80 and 463,508,404.80 is: 695,782,292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,221,377.60 : 899,503,912.80 = 463,508,404.80 : x
  2. Step 2: Convert to fraction form
    599,221,377.60/899,503,912.80 = 463,508,404.80/x
  3. Step 3: Cross multiply
    599,221,377.60x = 899,503,912.80 × 463,508,404.80
  4. Step 4: Simplify right side
    599,221,377.60x = 416,927,623,733,286,272
  5. Step 5: Solve for x
    x = 416,927,623,733,286,272/599,221,377.60
  6. Step 6: Final answer
    x = 695,782,292.35

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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.