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Finding the Fourth Proportional to 6,204,706,535,896.30, 9,307,059,803,844.30 and 6,204,706,535,896.30

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Solution

The fourth proportional to 6,204,706,535,896.30, 9,307,059,803,844.30 and 6,204,706,535,896.30 is: 9,307,059,803,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204,706,535,896.30 : 9,307,059,803,844.30 = 6,204,706,535,896.30 : x
  2. Step 2: Convert to fraction form
    6,204,706,535,896.30/9,307,059,803,844.30 = 6,204,706,535,896.30/x
  3. Step 3: Cross multiply
    6,204,706,535,896.30x = 9,307,059,803,844.30 × 6,204,706,535,896.30
  4. Step 4: Simplify right side
    6,204,706,535,896.30x = 57,747,574,794,890,467,654,762,496
  5. Step 5: Solve for x
    x = 57,747,574,794,890,467,654,762,496/6,204,706,535,896.30
  6. Step 6: Final answer
    x = 9,307,059,803,844.30

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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.