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Finding the Fourth Proportional to 546,188,213,999.45, 819,282,320,999.20 and 546,188,213,999.45

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Solution

The fourth proportional to 546,188,213,999.45, 819,282,320,999.20 and 546,188,213,999.45 is: 819,282,320,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,188,213,999.45 : 819,282,320,999.20 = 546,188,213,999.45 : x
  2. Step 2: Convert to fraction form
    546,188,213,999.45/819,282,320,999.20 = 546,188,213,999.45/x
  3. Step 3: Cross multiply
    546,188,213,999.45x = 819,282,320,999.20 × 546,188,213,999.45
  4. Step 4: Simplify right side
    546,188,213,999.45x = 447,482,347,667,877,133,287,424
  5. Step 5: Solve for x
    x = 447,482,347,667,877,133,287,424/546,188,213,999.45
  6. Step 6: Final answer
    x = 819,282,320,999.20

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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.