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Finding the Fourth Proportional to 20,391,159,097.30, 30,586,738,645.95 and 20,391,159,097.30

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Solution

The fourth proportional to 20,391,159,097.30, 30,586,738,645.95 and 20,391,159,097.30 is: 30,586,738,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,391,159,097.30 : 30,586,738,645.95 = 20,391,159,097.30 : x
  2. Step 2: Convert to fraction form
    20,391,159,097.30/30,586,738,645.95 = 20,391,159,097.30/x
  3. Step 3: Cross multiply
    20,391,159,097.30x = 30,586,738,645.95 × 20,391,159,097.30
  4. Step 4: Simplify right side
    20,391,159,097.30x = 623,699,053,997,100,761,088
  5. Step 5: Solve for x
    x = 623,699,053,997,100,761,088/20,391,159,097.30
  6. Step 6: Final answer
    x = 30,586,738,645.95

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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.