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Finding the Fourth Proportional to 428,501,363,722.52, 591,331,978,458.36 and 235,813,536,648.26

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Solution

The fourth proportional to 428,501,363,722.52, 591,331,978,458.36 and 235,813,536,648.26 is: 325,422,733,692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,501,363,722.52 : 591,331,978,458.36 = 235,813,536,648.26 : x
  2. Step 2: Convert to fraction form
    428,501,363,722.52/591,331,978,458.36 = 235,813,536,648.26/x
  3. Step 3: Cross multiply
    428,501,363,722.52x = 591,331,978,458.36 × 235,813,536,648.26
  4. Step 4: Simplify right side
    428,501,363,722.52x = 139,444,085,173,478,573,998,080
  5. Step 5: Solve for x
    x = 139,444,085,173,478,573,998,080/428,501,363,722.52
  6. Step 6: Final answer
    x = 325,422,733,692.34

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