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Finding the Fourth Proportional to 953,309,608.14, 1,429,937,978.46 and 253,807,745.34

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Solution

The fourth proportional to 953,309,608.14, 1,429,937,978.46 and 253,807,745.34 is: 380,704,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,309,608.14 : 1,429,937,978.46 = 253,807,745.34 : x
  2. Step 2: Convert to fraction form
    953,309,608.14/1,429,937,978.46 = 253,807,745.34/x
  3. Step 3: Cross multiply
    953,309,608.14x = 1,429,937,978.46 × 253,807,745.34
  4. Step 4: Simplify right side
    953,309,608.14x = 362,929,334,288,970,112
  5. Step 5: Solve for x
    x = 362,929,334,288,970,112/953,309,608.14
  6. Step 6: Final answer
    x = 380,704,580.33

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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.