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Finding the Fourth Proportional to 10,695,302,258,674, 16,042,953,388,012 and 10,695,302,258,674

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Solution

The fourth proportional to 10,695,302,258,674, 16,042,953,388,012 and 10,695,302,258,674 is: 16,042,953,388,012

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695,302,258,674 : 16,042,953,388,012 = 10,695,302,258,674 : x
  2. Step 2: Convert to fraction form
    10,695,302,258,674/16,042,953,388,012 = 10,695,302,258,674/x
  3. Step 3: Cross multiply
    10,695,302,258,674x = 16,042,953,388,012 × 10,695,302,258,674
  4. Step 4: Simplify right side
    10,695,302,258,674x = 171,584,235,606,606,435,982,508,032
  5. Step 5: Solve for x
    x = 171,584,235,606,606,435,982,508,032/10,695,302,258,674
  6. Step 6: Final answer
    x = 16,042,953,388,012

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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.