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Finding the Fourth Proportional to 12,432,821,731.60, 18,649,232,597.40 and 12,432,821,731.60

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Solution

The fourth proportional to 12,432,821,731.60, 18,649,232,597.40 and 12,432,821,731.60 is: 18,649,232,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432,821,731.60 : 18,649,232,597.40 = 12,432,821,731.60 : x
  2. Step 2: Convert to fraction form
    12,432,821,731.60/18,649,232,597.40 = 12,432,821,731.60/x
  3. Step 3: Cross multiply
    12,432,821,731.60x = 18,649,232,597.40 × 12,432,821,731.60
  4. Step 4: Simplify right side
    12,432,821,731.60x = 231,862,584,314,617,856,000
  5. Step 5: Solve for x
    x = 231,862,584,314,617,856,000/12,432,821,731.60
  6. Step 6: Final answer
    x = 18,649,232,597.40

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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.