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Finding the Fourth Proportional to 293,355,543,612.80, 440,033,315,419.20 and 293,355,543,612.80

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Solution

The fourth proportional to 293,355,543,612.80, 440,033,315,419.20 and 293,355,543,612.80 is: 440,033,315,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,355,543,612.80 : 440,033,315,419.20 = 293,355,543,612.80 : x
  2. Step 2: Convert to fraction form
    293,355,543,612.80/440,033,315,419.20 = 293,355,543,612.80/x
  3. Step 3: Cross multiply
    293,355,543,612.80x = 440,033,315,419.20 × 293,355,543,612.80
  4. Step 4: Simplify right side
    293,355,543,612.80x = 129,086,212,452,542,104,731,648
  5. Step 5: Solve for x
    x = 129,086,212,452,542,104,731,648/293,355,543,612.80
  6. Step 6: Final answer
    x = 440,033,315,419.20

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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.