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Finding the Fourth Proportional to 2,180,441,765.30, 3,270,662,647.95 and 2,180,441,765.30

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Solution

The fourth proportional to 2,180,441,765.30, 3,270,662,647.95 and 2,180,441,765.30 is: 3,270,662,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180,441,765.30 : 3,270,662,647.95 = 2,180,441,765.30 : x
  2. Step 2: Convert to fraction form
    2,180,441,765.30/3,270,662,647.95 = 2,180,441,765.30/x
  3. Step 3: Cross multiply
    2,180,441,765.30x = 3,270,662,647.95 × 2,180,441,765.30
  4. Step 4: Simplify right side
    2,180,441,765.30x = 7,131,489,437,796,870,144
  5. Step 5: Solve for x
    x = 7,131,489,437,796,870,144/2,180,441,765.30
  6. Step 6: Final answer
    x = 3,270,662,647.95

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Double scale
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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.