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Finding the Fourth Proportional to 18,187,181,877.60, 27,280,772,816.40 and 18,187,181,877.60

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Solution

The fourth proportional to 18,187,181,877.60, 27,280,772,816.40 and 18,187,181,877.60 is: 27,280,772,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,187,181,877.60 : 27,280,772,816.40 = 18,187,181,877.60 : x
  2. Step 2: Convert to fraction form
    18,187,181,877.60/27,280,772,816.40 = 18,187,181,877.60/x
  3. Step 3: Cross multiply
    18,187,181,877.60x = 27,280,772,816.40 × 18,187,181,877.60
  4. Step 4: Simplify right side
    18,187,181,877.60x = 496,160,376,973,352,763,392
  5. Step 5: Solve for x
    x = 496,160,376,973,352,763,392/18,187,181,877.60
  6. Step 6: Final answer
    x = 27,280,772,816.40

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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.