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Finding the Fourth Proportional to 433,543,281.60, 650,125,965.60 and 174,672,465.60

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Solution

The fourth proportional to 433,543,281.60, 650,125,965.60 and 174,672,465.60 is: 261,932,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,543,281.60 : 650,125,965.60 = 174,672,465.60 : x
  2. Step 2: Convert to fraction form
    433,543,281.60/650,125,965.60 = 174,672,465.60/x
  3. Step 3: Cross multiply
    433,543,281.60x = 650,125,965.60 × 174,672,465.60
  4. Step 4: Simplify right side
    433,543,281.60x = 113,559,105,361,932,784
  5. Step 5: Solve for x
    x = 113,559,105,361,932,784/433,543,281.60
  6. Step 6: Final answer
    x = 261,932,568.63

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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.