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Finding the Fourth Proportional to 6,620,054,614,908.40, 9,930,081,922,363.50 and 6,620,054,614,908.40

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Solution

The fourth proportional to 6,620,054,614,908.40, 9,930,081,922,363.50 and 6,620,054,614,908.40 is: 9,930,081,922,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620,054,614,908.40 : 9,930,081,922,363.50 = 6,620,054,614,908.40 : x
  2. Step 2: Convert to fraction form
    6,620,054,614,908.40/9,930,081,922,363.50 = 6,620,054,614,908.40/x
  3. Step 3: Cross multiply
    6,620,054,614,908.40x = 9,930,081,922,363.50 × 6,620,054,614,908.40
  4. Step 4: Simplify right side
    6,620,054,614,908.40x = 65,737,684,656,560,968,774,451,200
  5. Step 5: Solve for x
    x = 65,737,684,656,560,968,774,451,200/6,620,054,614,908.40
  6. Step 6: Final answer
    x = 9,930,081,922,363.50

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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.