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Finding the Fourth Proportional to 419,134,464,280.40, 628,701,696,420.60 and 419,134,464,280.40

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Solution

The fourth proportional to 419,134,464,280.40, 628,701,696,420.60 and 419,134,464,280.40 is: 628,701,696,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,134,464,280.40 : 628,701,696,420.60 = 419,134,464,280.40 : x
  2. Step 2: Convert to fraction form
    419,134,464,280.40/628,701,696,420.60 = 419,134,464,280.40/x
  3. Step 3: Cross multiply
    419,134,464,280.40x = 628,701,696,420.60 × 419,134,464,280.40
  4. Step 4: Simplify right side
    419,134,464,280.40x = 263,510,548,721,426,856,148,992
  5. Step 5: Solve for x
    x = 263,510,548,721,426,856,148,992/419,134,464,280.40
  6. Step 6: Final answer
    x = 628,701,696,420.60

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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.