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Finding the Fourth Proportional to 6,801,346,277.80, 10,202,019,416.70 and 6,801,346,277.80

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Solution

The fourth proportional to 6,801,346,277.80, 10,202,019,416.70 and 6,801,346,277.80 is: 10,202,019,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801,346,277.80 : 10,202,019,416.70 = 6,801,346,277.80 : x
  2. Step 2: Convert to fraction form
    6,801,346,277.80/10,202,019,416.70 = 6,801,346,277.80/x
  3. Step 3: Cross multiply
    6,801,346,277.80x = 10,202,019,416.70 × 6,801,346,277.80
  4. Step 4: Simplify right side
    6,801,346,277.80x = 69,387,466,785,815,879,680
  5. Step 5: Solve for x
    x = 69,387,466,785,815,879,680/6,801,346,277.80
  6. Step 6: Final answer
    x = 10,202,019,416.70

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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.