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Finding the Fourth Proportional to 10,090,495,847.60, 15,135,743,771.40 and 10,090,495,847.60

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Solution

The fourth proportional to 10,090,495,847.60, 15,135,743,771.40 and 10,090,495,847.60 is: 15,135,743,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090,495,847.60 : 15,135,743,771.40 = 10,090,495,847.60 : x
  2. Step 2: Convert to fraction form
    10,090,495,847.60/15,135,743,771.40 = 10,090,495,847.60/x
  3. Step 3: Cross multiply
    10,090,495,847.60x = 15,135,743,771.40 × 10,090,495,847.60
  4. Step 4: Simplify right side
    10,090,495,847.60x = 152,727,159,675,649,261,568
  5. Step 5: Solve for x
    x = 152,727,159,675,649,261,568/10,090,495,847.60
  6. Step 6: Final answer
    x = 15,135,743,771.40

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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.