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Finding the Fourth Proportional to 898,647,114.60, 1,261,733,931 and 898,647,114.60

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Solution

The fourth proportional to 898,647,114.60, 1,261,733,931 and 898,647,114.60 is: 1,261,733,931

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,647,114.60 : 1,261,733,931 = 898,647,114.60 : x
  2. Step 2: Convert to fraction form
    898,647,114.60/1,261,733,931 = 898,647,114.60/x
  3. Step 3: Cross multiply
    898,647,114.60x = 1,261,733,931 × 898,647,114.60
  4. Step 4: Simplify right side
    898,647,114.60x = 1,133,853,556,486,065,536
  5. Step 5: Solve for x
    x = 1,133,853,556,486,065,536/898,647,114.60
  6. Step 6: Final answer
    x = 1,261,733,931

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Why These Related Problems?

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