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Finding the Fourth Proportional to 48,478,743.20, 72,718,114.80 and 48,478,743.20

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Solution

The fourth proportional to 48,478,743.20, 72,718,114.80 and 48,478,743.20 is: 72,718,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,478,743.20 : 72,718,114.80 = 48,478,743.20 : x
  2. Step 2: Convert to fraction form
    48,478,743.20/72,718,114.80 = 48,478,743.20/x
  3. Step 3: Cross multiply
    48,478,743.20x = 72,718,114.80 × 48,478,743.20
  4. Step 4: Simplify right side
    48,478,743.20x = 3,525,282,813,377,319.50
  5. Step 5: Solve for x
    x = 3,525,282,813,377,319.50/48,478,743.20
  6. Step 6: Final answer
    x = 72,718,114.80

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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.