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Finding the Fourth Proportional to 294,501,462,081.30, 441,752,193,121.96 and 294,501,462,081.30

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Solution

The fourth proportional to 294,501,462,081.30, 441,752,193,121.96 and 294,501,462,081.30 is: 441,752,193,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,501,462,081.30 : 441,752,193,121.96 = 294,501,462,081.30 : x
  2. Step 2: Convert to fraction form
    294,501,462,081.30/441,752,193,121.96 = 294,501,462,081.30/x
  3. Step 3: Cross multiply
    294,501,462,081.30x = 441,752,193,121.96 × 294,501,462,081.30
  4. Step 4: Simplify right side
    294,501,462,081.30x = 130,096,666,752,038,016,647,168
  5. Step 5: Solve for x
    x = 130,096,666,752,038,016,647,168/294,501,462,081.30
  6. Step 6: Final answer
    x = 441,752,193,121.96

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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.