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Finding the Fourth Proportional to 475,331,328,961.70, 712,996,993,442.55 and 475,331,328,961.70

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Solution

The fourth proportional to 475,331,328,961.70, 712,996,993,442.55 and 475,331,328,961.70 is: 712,996,993,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,331,328,961.70 : 712,996,993,442.55 = 475,331,328,961.70 : x
  2. Step 2: Convert to fraction form
    475,331,328,961.70/712,996,993,442.55 = 475,331,328,961.70/x
  3. Step 3: Cross multiply
    475,331,328,961.70x = 712,996,993,442.55 × 475,331,328,961.70
  4. Step 4: Simplify right side
    475,331,328,961.70x = 338,909,808,438,743,796,809,728
  5. Step 5: Solve for x
    x = 338,909,808,438,743,796,809,728/475,331,328,961.70
  6. Step 6: Final answer
    x = 712,996,993,442.55

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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.