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Finding the Fourth Proportional to 654,696,004.20, 982,044,006.30 and 654,696,004.20

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Solution

The fourth proportional to 654,696,004.20, 982,044,006.30 and 654,696,004.20 is: 982,044,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,696,004.20 : 982,044,006.30 = 654,696,004.20 : x
  2. Step 2: Convert to fraction form
    654,696,004.20/982,044,006.30 = 654,696,004.20/x
  3. Step 3: Cross multiply
    654,696,004.20x = 982,044,006.30 × 654,696,004.20
  4. Step 4: Simplify right side
    654,696,004.20x = 642,940,286,873,169,664
  5. Step 5: Solve for x
    x = 642,940,286,873,169,664/654,696,004.20
  6. Step 6: Final answer
    x = 982,044,006.30

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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.