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Finding the Fourth Proportional to 213,860,949,969.40, 320,791,424,954.10 and 213,860,949,969.40

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Solution

The fourth proportional to 213,860,949,969.40, 320,791,424,954.10 and 213,860,949,969.40 is: 320,791,424,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,860,949,969.40 : 320,791,424,954.10 = 213,860,949,969.40 : x
  2. Step 2: Convert to fraction form
    213,860,949,969.40/320,791,424,954.10 = 213,860,949,969.40/x
  3. Step 3: Cross multiply
    213,860,949,969.40x = 320,791,424,954.10 × 213,860,949,969.40
  4. Step 4: Simplify right side
    213,860,949,969.40x = 68,604,758,882,721,304,936,448
  5. Step 5: Solve for x
    x = 68,604,758,882,721,304,936,448/213,860,949,969.40
  6. Step 6: Final answer
    x = 320,791,424,954.10

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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.