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Finding the Fourth Proportional to 419,905,616.40, 629,858,424.60 and 288,391,683.60

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Solution

The fourth proportional to 419,905,616.40, 629,858,424.60 and 288,391,683.60 is: 432,587,525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,905,616.40 : 629,858,424.60 = 288,391,683.60 : x
  2. Step 2: Convert to fraction form
    419,905,616.40/629,858,424.60 = 288,391,683.60/x
  3. Step 3: Cross multiply
    419,905,616.40x = 629,858,424.60 × 288,391,683.60
  4. Step 4: Simplify right side
    419,905,616.40x = 181,645,931,500,037,664
  5. Step 5: Solve for x
    x = 181,645,931,500,037,664/419,905,616.40
  6. Step 6: Final answer
    x = 432,587,525.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.