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Finding the Fourth Proportional to 588,305,361,200.40, 881,063,328,040.20 and 588,305,361,200.40

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Solution

The fourth proportional to 588,305,361,200.40, 881,063,328,040.20 and 588,305,361,200.40 is: 881,063,328,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,305,361,200.40 : 881,063,328,040.20 = 588,305,361,200.40 : x
  2. Step 2: Convert to fraction form
    588,305,361,200.40/881,063,328,040.20 = 588,305,361,200.40/x
  3. Step 3: Cross multiply
    588,305,361,200.40x = 881,063,328,040.20 × 588,305,361,200.40
  4. Step 4: Simplify right side
    588,305,361,200.40x = 518,334,279,443,116,397,166,592
  5. Step 5: Solve for x
    x = 518,334,279,443,116,397,166,592/588,305,361,200.40
  6. Step 6: Final answer
    x = 881,063,328,040.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.