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Finding the Fourth Proportional to 48,498,530,727.60, 72,747,796,091.40 and 48,498,530,727.60

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Solution

The fourth proportional to 48,498,530,727.60, 72,747,796,091.40 and 48,498,530,727.60 is: 72,747,796,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,498,530,727.60 : 72,747,796,091.40 = 48,498,530,727.60 : x
  2. Step 2: Convert to fraction form
    48,498,530,727.60/72,747,796,091.40 = 48,498,530,727.60/x
  3. Step 3: Cross multiply
    48,498,530,727.60x = 72,747,796,091.40 × 48,498,530,727.60
  4. Step 4: Simplify right side
    48,498,530,727.60x = 3,528,161,224,103,941,898,240
  5. Step 5: Solve for x
    x = 3,528,161,224,103,941,898,240/48,498,530,727.60
  6. Step 6: Final answer
    x = 72,747,796,091.40

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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.