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Finding the Fourth Proportional to 6,685,864,364.30, 10,028,796,546.45 and 6,685,864,364.30

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Solution

The fourth proportional to 6,685,864,364.30, 10,028,796,546.45 and 6,685,864,364.30 is: 10,028,796,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685,864,364.30 : 10,028,796,546.45 = 6,685,864,364.30 : x
  2. Step 2: Convert to fraction form
    6,685,864,364.30/10,028,796,546.45 = 6,685,864,364.30/x
  3. Step 3: Cross multiply
    6,685,864,364.30x = 10,028,796,546.45 × 6,685,864,364.30
  4. Step 4: Simplify right side
    6,685,864,364.30x = 67,051,173,446,724,968,448
  5. Step 5: Solve for x
    x = 67,051,173,446,724,968,448/6,685,864,364.30
  6. Step 6: Final answer
    x = 10,028,796,546.45

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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.