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Finding the Fourth Proportional to 898,647,682.10, 1,261,734,725.50 and 898,647,682.10

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Solution

The fourth proportional to 898,647,682.10, 1,261,734,725.50 and 898,647,682.10 is: 1,261,734,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,647,682.10 : 1,261,734,725.50 = 898,647,682.10 : x
  2. Step 2: Convert to fraction form
    898,647,682.10/1,261,734,725.50 = 898,647,682.10/x
  3. Step 3: Cross multiply
    898,647,682.10x = 1,261,734,725.50 × 898,647,682.10
  4. Step 4: Simplify right side
    898,647,682.10x = 1,133,854,986,495,654,784
  5. Step 5: Solve for x
    x = 1,133,854,986,495,654,784/898,647,682.10
  6. Step 6: Final answer
    x = 1,261,734,725.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.