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Finding the Fourth Proportional to 10,820,731,765.60, 16,231,097,648.40 and 10,820,731,765.60

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Solution

The fourth proportional to 10,820,731,765.60, 16,231,097,648.40 and 10,820,731,765.60 is: 16,231,097,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820,731,765.60 : 16,231,097,648.40 = 10,820,731,765.60 : x
  2. Step 2: Convert to fraction form
    10,820,731,765.60/16,231,097,648.40 = 10,820,731,765.60/x
  3. Step 3: Cross multiply
    10,820,731,765.60x = 16,231,097,648.40 × 10,820,731,765.60
  4. Step 4: Simplify right side
    10,820,731,765.60x = 175,632,353,914,597,343,232
  5. Step 5: Solve for x
    x = 175,632,353,914,597,343,232/10,820,731,765.60
  6. Step 6: Final answer
    x = 16,231,097,648.40

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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.