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Finding the Fourth Proportional to 360,891,663,015.68, 541,337,494,523.51 and 360,891,663,015.68

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Solution

The fourth proportional to 360,891,663,015.68, 541,337,494,523.51 and 360,891,663,015.68 is: 541,337,494,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,891,663,015.68 : 541,337,494,523.51 = 360,891,663,015.68 : x
  2. Step 2: Convert to fraction form
    360,891,663,015.68/541,337,494,523.51 = 360,891,663,015.68/x
  3. Step 3: Cross multiply
    360,891,663,015.68x = 541,337,494,523.51 × 360,891,663,015.68
  4. Step 4: Simplify right side
    360,891,663,015.68x = 195,364,188,651,331,088,547,840
  5. Step 5: Solve for x
    x = 195,364,188,651,331,088,547,840/360,891,663,015.68
  6. Step 6: Final answer
    x = 541,337,494,523.51

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Double scale
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Similar ratio
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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.