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Finding the Fourth Proportional to 419,323,325.10, 628,984,987.65 and 416,772,408.30

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Solution

The fourth proportional to 419,323,325.10, 628,984,987.65 and 416,772,408.30 is: 625,158,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,323,325.10 : 628,984,987.65 = 416,772,408.30 : x
  2. Step 2: Convert to fraction form
    419,323,325.10/628,984,987.65 = 416,772,408.30/x
  3. Step 3: Cross multiply
    419,323,325.10x = 628,984,987.65 × 416,772,408.30
  4. Step 4: Simplify right side
    419,323,325.10x = 262,143,588,087,436,256
  5. Step 5: Solve for x
    x = 262,143,588,087,436,256/419,323,325.10
  6. Step 6: Final answer
    x = 625,158,612.45

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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.