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Finding the Fourth Proportional to 360,891,663,015.86, 541,337,494,523.80 and 360,891,663,015.86

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Solution

The fourth proportional to 360,891,663,015.86, 541,337,494,523.80 and 360,891,663,015.86 is: 541,337,494,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,891,663,015.86 : 541,337,494,523.80 = 360,891,663,015.86 : x
  2. Step 2: Convert to fraction form
    360,891,663,015.86/541,337,494,523.80 = 360,891,663,015.86/x
  3. Step 3: Cross multiply
    360,891,663,015.86x = 541,337,494,523.80 × 360,891,663,015.86
  4. Step 4: Simplify right side
    360,891,663,015.86x = 195,364,188,651,533,186,891,776
  5. Step 5: Solve for x
    x = 195,364,188,651,533,186,891,776/360,891,663,015.86
  6. Step 6: Final answer
    x = 541,337,494,523.80

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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.