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Finding the Fourth Proportional to 811,463,969.80, 1,217,195,954.70 and 811,463,969.80

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Solution

The fourth proportional to 811,463,969.80, 1,217,195,954.70 and 811,463,969.80 is: 1,217,195,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,463,969.80 : 1,217,195,954.70 = 811,463,969.80 : x
  2. Step 2: Convert to fraction form
    811,463,969.80/1,217,195,954.70 = 811,463,969.80/x
  3. Step 3: Cross multiply
    811,463,969.80x = 1,217,195,954.70 × 811,463,969.80
  4. Step 4: Simplify right side
    811,463,969.80x = 987,710,661,425,362,944
  5. Step 5: Solve for x
    x = 987,710,661,425,362,944/811,463,969.80
  6. Step 6: Final answer
    x = 1,217,195,954.70

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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.