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Finding the Fourth Proportional to 320,652,014.40, 480,978,021.60 and 139,253,486.40

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Solution

The fourth proportional to 320,652,014.40, 480,978,021.60 and 139,253,486.40 is: 208,880,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,652,014.40 : 480,978,021.60 = 139,253,486.40 : x
  2. Step 2: Convert to fraction form
    320,652,014.40/480,978,021.60 = 139,253,486.40/x
  3. Step 3: Cross multiply
    320,652,014.40x = 480,978,021.60 × 139,253,486.40
  4. Step 4: Simplify right side
    320,652,014.40x = 66,977,866,389,574,512
  5. Step 5: Solve for x
    x = 66,977,866,389,574,512/320,652,014.40
  6. Step 6: Final answer
    x = 208,880,229.60

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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.