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Finding the Fourth Proportional to 726,644,015.30, 1,089,966,022.95 and 726,644,015.30

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Solution

The fourth proportional to 726,644,015.30, 1,089,966,022.95 and 726,644,015.30 is: 1,089,966,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,644,015.30 : 1,089,966,022.95 = 726,644,015.30 : x
  2. Step 2: Convert to fraction form
    726,644,015.30/1,089,966,022.95 = 726,644,015.30/x
  3. Step 3: Cross multiply
    726,644,015.30x = 1,089,966,022.95 × 726,644,015.30
  4. Step 4: Simplify right side
    726,644,015.30x = 792,017,287,456,959,872
  5. Step 5: Solve for x
    x = 792,017,287,456,959,872/726,644,015.30
  6. Step 6: Final answer
    x = 1,089,966,022.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.