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Finding the Fourth Proportional to 501,595,978.52, 692,211,008.04 and 275,544,494.12

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Solution

The fourth proportional to 501,595,978.52, 692,211,008.04 and 275,544,494.12 is: 380,256,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,595,978.52 : 692,211,008.04 = 275,544,494.12 : x
  2. Step 2: Convert to fraction form
    501,595,978.52/692,211,008.04 = 275,544,494.12/x
  3. Step 3: Cross multiply
    501,595,978.52x = 692,211,008.04 × 275,544,494.12
  4. Step 4: Simplify right side
    501,595,978.52x = 190,734,932,034,677,056
  5. Step 5: Solve for x
    x = 190,734,932,034,677,056/501,595,978.52
  6. Step 6: Final answer
    x = 380,256,102.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.