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Finding the Fourth Proportional to 395,722,943,999.78, 593,584,415,999.67 and 395,722,943,999.78

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Solution

The fourth proportional to 395,722,943,999.78, 593,584,415,999.67 and 395,722,943,999.78 is: 593,584,415,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,722,943,999.78 : 593,584,415,999.67 = 395,722,943,999.78 : x
  2. Step 2: Convert to fraction form
    395,722,943,999.78/593,584,415,999.67 = 395,722,943,999.78/x
  3. Step 3: Cross multiply
    395,722,943,999.78x = 593,584,415,999.67 × 395,722,943,999.78
  4. Step 4: Simplify right side
    395,722,943,999.78x = 234,894,972,611,779,551,559,680
  5. Step 5: Solve for x
    x = 234,894,972,611,779,551,559,680/395,722,943,999.78
  6. Step 6: Final answer
    x = 593,584,415,999.67

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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.