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Finding the Fourth Proportional to 543,274,368.83, 814,911,553.24 and 543,274,368.83

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Solution

The fourth proportional to 543,274,368.83, 814,911,553.24 and 543,274,368.83 is: 814,911,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,274,368.83 : 814,911,553.24 = 543,274,368.83 : x
  2. Step 2: Convert to fraction form
    543,274,368.83/814,911,553.24 = 543,274,368.83/x
  3. Step 3: Cross multiply
    543,274,368.83x = 814,911,553.24 × 543,274,368.83
  4. Step 4: Simplify right side
    543,274,368.83x = 442,720,559,733,303,232
  5. Step 5: Solve for x
    x = 442,720,559,733,303,232/543,274,368.83
  6. Step 6: Final answer
    x = 814,911,553.24

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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.