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Finding the Fourth Proportional to 48,530,016,002.40, 68,137,932,813.60 and 48,530,016,002.40

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Solution

The fourth proportional to 48,530,016,002.40, 68,137,932,813.60 and 48,530,016,002.40 is: 68,137,932,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,530,016,002.40 : 68,137,932,813.60 = 48,530,016,002.40 : x
  2. Step 2: Convert to fraction form
    48,530,016,002.40/68,137,932,813.60 = 48,530,016,002.40/x
  3. Step 3: Cross multiply
    48,530,016,002.40x = 68,137,932,813.60 × 48,530,016,002.40
  4. Step 4: Simplify right side
    48,530,016,002.40x = 3,306,734,969,814,464,331,776
  5. Step 5: Solve for x
    x = 3,306,734,969,814,464,331,776/48,530,016,002.40
  6. Step 6: Final answer
    x = 68,137,932,813.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.