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Finding the Fourth Proportional to 627,967,152,000.40, 941,950,728,000.60 and 627,967,152,000.40

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Solution

The fourth proportional to 627,967,152,000.40, 941,950,728,000.60 and 627,967,152,000.40 is: 941,950,728,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,967,152,000.40 : 941,950,728,000.60 = 627,967,152,000.40 : x
  2. Step 2: Convert to fraction form
    627,967,152,000.40/941,950,728,000.60 = 627,967,152,000.40/x
  3. Step 3: Cross multiply
    627,967,152,000.40x = 941,950,728,000.60 × 627,967,152,000.40
  4. Step 4: Simplify right side
    627,967,152,000.40x = 591,514,115,987,240,254,439,424
  5. Step 5: Solve for x
    x = 591,514,115,987,240,254,439,424/627,967,152,000.40
  6. Step 6: Final answer
    x = 941,950,728,000.60

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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.