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Finding the Fourth Proportional to 20,322,576,009.10, 30,483,864,013.65 and 20,322,576,009.10

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Solution

The fourth proportional to 20,322,576,009.10, 30,483,864,013.65 and 20,322,576,009.10 is: 30,483,864,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322,576,009.10 : 30,483,864,013.65 = 20,322,576,009.10 : x
  2. Step 2: Convert to fraction form
    20,322,576,009.10/30,483,864,013.65 = 20,322,576,009.10/x
  3. Step 3: Cross multiply
    20,322,576,009.10x = 30,483,864,013.65 × 20,322,576,009.10
  4. Step 4: Simplify right side
    20,322,576,009.10x = 619,510,643,468,470,321,152
  5. Step 5: Solve for x
    x = 619,510,643,468,470,321,152/20,322,576,009.10
  6. Step 6: Final answer
    x = 30,483,864,013.65

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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.