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Finding the Fourth Proportional to 10,333,790,784,006, 15,500,686,176,010 and 10,333,790,784,006

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Solution

The fourth proportional to 10,333,790,784,006, 15,500,686,176,010 and 10,333,790,784,006 is: 15,500,686,176,010

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333,790,784,006 : 15,500,686,176,010 = 10,333,790,784,006 : x
  2. Step 2: Convert to fraction form
    10,333,790,784,006/15,500,686,176,010 = 10,333,790,784,006/x
  3. Step 3: Cross multiply
    10,333,790,784,006x = 15,500,686,176,010 × 10,333,790,784,006
  4. Step 4: Simplify right side
    10,333,790,784,006x = 160,180,847,951,421,344,449,560,576
  5. Step 5: Solve for x
    x = 160,180,847,951,421,344,449,560,576/10,333,790,784,006
  6. Step 6: Final answer
    x = 15,500,686,176,010

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.