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Finding the Fourth Proportional to 294,537,940,167.70, 441,806,910,251.55 and 294,537,940,167.70

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Solution

The fourth proportional to 294,537,940,167.70, 441,806,910,251.55 and 294,537,940,167.70 is: 441,806,910,251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,537,940,167.70 : 441,806,910,251.55 = 294,537,940,167.70 : x
  2. Step 2: Convert to fraction form
    294,537,940,167.70/441,806,910,251.55 = 294,537,940,167.70/x
  3. Step 3: Cross multiply
    294,537,940,167.70x = 441,806,910,251.55 × 294,537,940,167.70
  4. Step 4: Simplify right side
    294,537,940,167.70x = 130,128,897,297,347,434,774,528
  5. Step 5: Solve for x
    x = 130,128,897,297,347,434,774,528/294,537,940,167.70
  6. Step 6: Final answer
    x = 441,806,910,251.55

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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.