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Finding the Fourth Proportional to 48,568,896,643.20, 72,853,344,964.80 and 48,568,896,643.20

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Solution

The fourth proportional to 48,568,896,643.20, 72,853,344,964.80 and 48,568,896,643.20 is: 72,853,344,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,568,896,643.20 : 72,853,344,964.80 = 48,568,896,643.20 : x
  2. Step 2: Convert to fraction form
    48,568,896,643.20/72,853,344,964.80 = 48,568,896,643.20/x
  3. Step 3: Cross multiply
    48,568,896,643.20x = 72,853,344,964.80 × 48,568,896,643.20
  4. Step 4: Simplify right side
    48,568,896,643.20x = 3,538,406,581,706,766,155,776
  5. Step 5: Solve for x
    x = 3,538,406,581,706,766,155,776/48,568,896,643.20
  6. Step 6: Final answer
    x = 72,853,344,964.80

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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.