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Finding the Fourth Proportional to 978,049,378.45, 1,467,074,067.68 and 978,049,378.45

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Solution

The fourth proportional to 978,049,378.45, 1,467,074,067.68 and 978,049,378.45 is: 1,467,074,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,049,378.45 : 1,467,074,067.68 = 978,049,378.45 : x
  2. Step 2: Convert to fraction form
    978,049,378.45/1,467,074,067.68 = 978,049,378.45/x
  3. Step 3: Cross multiply
    978,049,378.45x = 1,467,074,067.68 × 978,049,378.45
  4. Step 4: Simplify right side
    978,049,378.45x = 1,434,870,880,034,537,472
  5. Step 5: Solve for x
    x = 1,434,870,880,034,537,472/978,049,378.45
  6. Step 6: Final answer
    x = 1,467,074,067.68

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1.5x scale

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.