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Finding the Fourth Proportional to 1,008,117,561.53, 1,512,176,342.29 and 1,008,117,561.53

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Solution

The fourth proportional to 1,008,117,561.53, 1,512,176,342.29 and 1,008,117,561.53 is: 1,512,176,342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,117,561.53 : 1,512,176,342.29 = 1,008,117,561.53 : x
  2. Step 2: Convert to fraction form
    1,008,117,561.53/1,512,176,342.29 = 1,008,117,561.53/x
  3. Step 3: Cross multiply
    1,008,117,561.53x = 1,512,176,342.29 × 1,008,117,561.53
  4. Step 4: Simplify right side
    1,008,117,561.53x = 1,524,451,526,782,668,032
  5. Step 5: Solve for x
    x = 1,524,451,526,782,668,032/1,008,117,561.53
  6. Step 6: Final answer
    x = 1,512,176,342.29

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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.