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Finding the Fourth Proportional to 7,213,084,977.80, 10,819,627,466.70 and 7,213,084,977.80

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Solution

The fourth proportional to 7,213,084,977.80, 10,819,627,466.70 and 7,213,084,977.80 is: 10,819,627,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213,084,977.80 : 10,819,627,466.70 = 7,213,084,977.80 : x
  2. Step 2: Convert to fraction form
    7,213,084,977.80/10,819,627,466.70 = 7,213,084,977.80/x
  3. Step 3: Cross multiply
    7,213,084,977.80x = 10,819,627,466.70 × 7,213,084,977.80
  4. Step 4: Simplify right side
    7,213,084,977.80x = 78,042,892,345,446,039,552
  5. Step 5: Solve for x
    x = 78,042,892,345,446,039,552/7,213,084,977.80
  6. Step 6: Final answer
    x = 10,819,627,466.70

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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.