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Finding the Fourth Proportional to 8,281,976,544,007.20, 12,422,964,816,010 and 8,281,976,544,007.20

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Solution

The fourth proportional to 8,281,976,544,007.20, 12,422,964,816,010 and 8,281,976,544,007.20 is: 12,422,964,816,010

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281,976,544,007.20 : 12,422,964,816,010 = 8,281,976,544,007.20 : x
  2. Step 2: Convert to fraction form
    8,281,976,544,007.20/12,422,964,816,010 = 8,281,976,544,007.20/x
  3. Step 3: Cross multiply
    8,281,976,544,007.20x = 12,422,964,816,010 × 8,281,976,544,007.20
  4. Step 4: Simplify right side
    8,281,976,544,007.20x = 102,886,703,213,221,541,249,548,288
  5. Step 5: Solve for x
    x = 102,886,703,213,221,541,249,548,288/8,281,976,544,007.20
  6. Step 6: Final answer
    x = 12,422,964,816,010

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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.