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Finding the Fourth Proportional to 100,512,138.60, 140,430,015.90 and 100,512,138.60

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Solution

The fourth proportional to 100,512,138.60, 140,430,015.90 and 100,512,138.60 is: 140,430,015.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,512,138.60 : 140,430,015.90 = 100,512,138.60 : x
  2. Step 2: Convert to fraction form
    100,512,138.60/140,430,015.90 = 100,512,138.60/x
  3. Step 3: Cross multiply
    100,512,138.60x = 140,430,015.90 × 100,512,138.60
  4. Step 4: Simplify right side
    100,512,138.60x = 14,114,921,221,741,004
  5. Step 5: Solve for x
    x = 14,114,921,221,741,004/100,512,138.60
  6. Step 6: Final answer
    x = 140,430,015.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.