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Finding the Fourth Proportional to 217,924,100,438.40, 326,886,150,657.60 and 217,924,100,438.40

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Solution

The fourth proportional to 217,924,100,438.40, 326,886,150,657.60 and 217,924,100,438.40 is: 326,886,150,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,924,100,438.40 : 326,886,150,657.60 = 217,924,100,438.40 : x
  2. Step 2: Convert to fraction form
    217,924,100,438.40/326,886,150,657.60 = 217,924,100,438.40/x
  3. Step 3: Cross multiply
    217,924,100,438.40x = 326,886,150,657.60 × 217,924,100,438.40
  4. Step 4: Simplify right side
    217,924,100,438.40x = 71,236,370,327,828,772,683,776
  5. Step 5: Solve for x
    x = 71,236,370,327,828,772,683,776/217,924,100,438.40
  6. Step 6: Final answer
    x = 326,886,150,657.60

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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.