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Finding the Fourth Proportional to 14,247,937,649.20, 19,906,344,074 and 14,247,937,649.20

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Solution

The fourth proportional to 14,247,937,649.20, 19,906,344,074 and 14,247,937,649.20 is: 19,906,344,074

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,247,937,649.20 : 19,906,344,074 = 14,247,937,649.20 : x
  2. Step 2: Convert to fraction form
    14,247,937,649.20/19,906,344,074 = 14,247,937,649.20/x
  3. Step 3: Cross multiply
    14,247,937,649.20x = 19,906,344,074 × 14,247,937,649.20
  4. Step 4: Simplify right side
    14,247,937,649.20x = 283,624,349,189,873,926,144
  5. Step 5: Solve for x
    x = 283,624,349,189,873,926,144/14,247,937,649.20
  6. Step 6: Final answer
    x = 19,906,344,074

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1.5x scale

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.