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Finding the Fourth Proportional to 419,905,101.60, 629,773,671.60 and 201,555,021.60

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Solution

The fourth proportional to 419,905,101.60, 629,773,671.60 and 201,555,021.60 is: 302,292,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,905,101.60 : 629,773,671.60 = 201,555,021.60 : x
  2. Step 2: Convert to fraction form
    419,905,101.60/629,773,671.60 = 201,555,021.60/x
  3. Step 3: Cross multiply
    419,905,101.60x = 629,773,671.60 × 201,555,021.60
  4. Step 4: Simplify right side
    419,905,101.60x = 126,934,045,982,449,312
  5. Step 5: Solve for x
    x = 126,934,045,982,449,312/419,905,101.60
  6. Step 6: Final answer
    x = 302,292,221.50

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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.