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Finding the Fourth Proportional to 18,187,298,977.20, 27,280,948,465.80 and 18,187,298,977.20

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Solution

The fourth proportional to 18,187,298,977.20, 27,280,948,465.80 and 18,187,298,977.20 is: 27,280,948,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,187,298,977.20 : 27,280,948,465.80 = 18,187,298,977.20 : x
  2. Step 2: Convert to fraction form
    18,187,298,977.20/27,280,948,465.80 = 18,187,298,977.20/x
  3. Step 3: Cross multiply
    18,187,298,977.20x = 27,280,948,465.80 × 18,187,298,977.20
  4. Step 4: Simplify right side
    18,187,298,977.20x = 496,166,766,129,090,265,088
  5. Step 5: Solve for x
    x = 496,166,766,129,090,265,088/18,187,298,977.20
  6. Step 6: Final answer
    x = 27,280,948,465.80

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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.