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Finding the Fourth Proportional to 825,721,866.47, 1,236,948,361.75 and 722,207,954.57

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Solution

The fourth proportional to 825,721,866.47, 1,236,948,361.75 and 722,207,954.57 is: 1,081,882,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,721,866.47 : 1,236,948,361.75 = 722,207,954.57 : x
  2. Step 2: Convert to fraction form
    825,721,866.47/1,236,948,361.75 = 722,207,954.57/x
  3. Step 3: Cross multiply
    825,721,866.47x = 1,236,948,361.75 × 722,207,954.57
  4. Step 4: Simplify right side
    825,721,866.47x = 893,333,946,240,189,696
  5. Step 5: Solve for x
    x = 893,333,946,240,189,696/825,721,866.47
  6. Step 6: Final answer
    x = 1,081,882,389.84

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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.