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Finding the Fourth Proportional to 891,825,576.30, 1,337,738,364.45 and 891,825,576.30

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Solution

The fourth proportional to 891,825,576.30, 1,337,738,364.45 and 891,825,576.30 is: 1,337,738,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,825,576.30 : 1,337,738,364.45 = 891,825,576.30 : x
  2. Step 2: Convert to fraction form
    891,825,576.30/1,337,738,364.45 = 891,825,576.30/x
  3. Step 3: Cross multiply
    891,825,576.30x = 1,337,738,364.45 × 891,825,576.30
  4. Step 4: Simplify right side
    891,825,576.30x = 1,193,029,287,814,240,768
  5. Step 5: Solve for x
    x = 1,193,029,287,814,240,768/891,825,576.30
  6. Step 6: Final answer
    x = 1,337,738,364.45

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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.