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Finding the Fourth Proportional to 10,560,808,188,023, 15,841,212,282,034 and 10,560,808,188,023

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Solution

The fourth proportional to 10,560,808,188,023, 15,841,212,282,034 and 10,560,808,188,023 is: 15,841,212,282,034

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560,808,188,023 : 15,841,212,282,034 = 10,560,808,188,023 : x
  2. Step 2: Convert to fraction form
    10,560,808,188,023/15,841,212,282,034 = 10,560,808,188,023/x
  3. Step 3: Cross multiply
    10,560,808,188,023x = 15,841,212,282,034 × 10,560,808,188,023
  4. Step 4: Simplify right side
    10,560,808,188,023x = 167,296,004,376,315,190,182,936,576
  5. Step 5: Solve for x
    x = 167,296,004,376,315,190,182,936,576/10,560,808,188,023
  6. Step 6: Final answer
    x = 15,841,212,282,034

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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.