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Finding the Fourth Proportional to 662,144,128,000.20, 993,216,192,000.30 and 662,144,128,000.20

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Solution

The fourth proportional to 662,144,128,000.20, 993,216,192,000.30 and 662,144,128,000.20 is: 993,216,192,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,144,128,000.20 : 993,216,192,000.30 = 662,144,128,000.20 : x
  2. Step 2: Convert to fraction form
    662,144,128,000.20/993,216,192,000.30 = 662,144,128,000.20/x
  3. Step 3: Cross multiply
    662,144,128,000.20x = 993,216,192,000.30 × 662,144,128,000.20
  4. Step 4: Simplify right side
    662,144,128,000.20x = 657,652,269,367,717,787,598,848
  5. Step 5: Solve for x
    x = 657,652,269,367,717,787,598,848/662,144,128,000.20
  6. Step 6: Final answer
    x = 993,216,192,000.30

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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.