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Finding the Fourth Proportional to 100,296,969.60, 150,445,454.40 and 100,296,969.60

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Solution

The fourth proportional to 100,296,969.60, 150,445,454.40 and 100,296,969.60 is: 150,445,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,296,969.60 : 150,445,454.40 = 100,296,969.60 : x
  2. Step 2: Convert to fraction form
    100,296,969.60/150,445,454.40 = 100,296,969.60/x
  3. Step 3: Cross multiply
    100,296,969.60x = 150,445,454.40 × 100,296,969.60
  4. Step 4: Simplify right side
    100,296,969.60x = 15,089,223,166,414,986
  5. Step 5: Solve for x
    x = 15,089,223,166,414,986/100,296,969.60
  6. Step 6: Final answer
    x = 150,445,454.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.