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Finding the Fourth Proportional to 825,841,745,668.04, 1,238,762,618,502 and 825,841,745,668.04

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Solution

The fourth proportional to 825,841,745,668.04, 1,238,762,618,502 and 825,841,745,668.04 is: 1,238,762,618,502

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,841,745,668.04 : 1,238,762,618,502 = 825,841,745,668.04 : x
  2. Step 2: Convert to fraction form
    825,841,745,668.04/1,238,762,618,502 = 825,841,745,668.04/x
  3. Step 3: Cross multiply
    825,841,745,668.04x = 1,238,762,618,502 × 825,841,745,668.04
  4. Step 4: Simplify right side
    825,841,745,668.04x = 1,023,021,883,332,003,970,940,928
  5. Step 5: Solve for x
    x = 1,023,021,883,332,003,970,940,928/825,841,745,668.04
  6. Step 6: Final answer
    x = 1,238,762,618,502

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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.