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Finding the Fourth Proportional to 673,764,942.20, 1,010,647,413.30 and 411,870,817.40

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Solution

The fourth proportional to 673,764,942.20, 1,010,647,413.30 and 411,870,817.40 is: 617,806,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,764,942.20 : 1,010,647,413.30 = 411,870,817.40 : x
  2. Step 2: Convert to fraction form
    673,764,942.20/1,010,647,413.30 = 411,870,817.40/x
  3. Step 3: Cross multiply
    673,764,942.20x = 1,010,647,413.30 × 411,870,817.40
  4. Step 4: Simplify right side
    673,764,942.20x = 416,256,176,219,066,560
  5. Step 5: Solve for x
    x = 416,256,176,219,066,560/673,764,942.20
  6. Step 6: Final answer
    x = 617,806,226.10

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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.