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Finding the Fourth Proportional to 419,323,324.60, 628,984,986.90 and 416,772,407.80

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Solution

The fourth proportional to 419,323,324.60, 628,984,986.90 and 416,772,407.80 is: 625,158,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,323,324.60 : 628,984,986.90 = 416,772,407.80 : x
  2. Step 2: Convert to fraction form
    419,323,324.60/628,984,986.90 = 416,772,407.80/x
  3. Step 3: Cross multiply
    419,323,324.60x = 628,984,986.90 × 416,772,407.80
  4. Step 4: Simplify right side
    419,323,324.60x = 262,143,587,460,364,448
  5. Step 5: Solve for x
    x = 262,143,587,460,364,448/419,323,324.60
  6. Step 6: Final answer
    x = 625,158,611.70

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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.