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Finding the Fourth Proportional to 269,089,430,408.60, 403,634,145,612.90 and 269,089,430,408.60

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Solution

The fourth proportional to 269,089,430,408.60, 403,634,145,612.90 and 269,089,430,408.60 is: 403,634,145,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,089,430,408.60 : 403,634,145,612.90 = 269,089,430,408.60 : x
  2. Step 2: Convert to fraction form
    269,089,430,408.60/403,634,145,612.90 = 269,089,430,408.60/x
  3. Step 3: Cross multiply
    269,089,430,408.60x = 403,634,145,612.90 × 269,089,430,408.60
  4. Step 4: Simplify right side
    269,089,430,408.60x = 108,613,682,336,437,190,524,928
  5. Step 5: Solve for x
    x = 108,613,682,336,437,190,524,928/269,089,430,408.60
  6. Step 6: Final answer
    x = 403,634,145,612.90

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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.