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Finding the Fourth Proportional to 6,726,996,830.40, 10,090,495,245.60 and 6,726,996,830.40

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Solution

The fourth proportional to 6,726,996,830.40, 10,090,495,245.60 and 6,726,996,830.40 is: 10,090,495,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726,996,830.40 : 10,090,495,245.60 = 6,726,996,830.40 : x
  2. Step 2: Convert to fraction form
    6,726,996,830.40/10,090,495,245.60 = 6,726,996,830.40/x
  3. Step 3: Cross multiply
    6,726,996,830.40x = 10,090,495,245.60 × 6,726,996,830.40
  4. Step 4: Simplify right side
    6,726,996,830.40x = 67,878,729,534,317,469,696
  5. Step 5: Solve for x
    x = 67,878,729,534,317,469,696/6,726,996,830.40
  6. Step 6: Final answer
    x = 10,090,495,245.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.