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Finding the Fourth Proportional to 294,537,940,151.70, 441,806,910,227.55 and 294,537,940,151.70

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Solution

The fourth proportional to 294,537,940,151.70, 441,806,910,227.55 and 294,537,940,151.70 is: 441,806,910,227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,537,940,151.70 : 441,806,910,227.55 = 294,537,940,151.70 : x
  2. Step 2: Convert to fraction form
    294,537,940,151.70/441,806,910,227.55 = 294,537,940,151.70/x
  3. Step 3: Cross multiply
    294,537,940,151.70x = 441,806,910,227.55 × 294,537,940,151.70
  4. Step 4: Simplify right side
    294,537,940,151.70x = 130,128,897,283,209,610,395,648
  5. Step 5: Solve for x
    x = 130,128,897,283,209,610,395,648/294,537,940,151.70
  6. Step 6: Final answer
    x = 441,806,910,227.55

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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.