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Finding the Fourth Proportional to 29,897,429.70, 41,884,745.10 and 29,897,429.70

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Solution

The fourth proportional to 29,897,429.70, 41,884,745.10 and 29,897,429.70 is: 41,884,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,897,429.70 : 41,884,745.10 = 29,897,429.70 : x
  2. Step 2: Convert to fraction form
    29,897,429.70/41,884,745.10 = 29,897,429.70/x
  3. Step 3: Cross multiply
    29,897,429.70x = 41,884,745.10 × 29,897,429.70
  4. Step 4: Simplify right side
    29,897,429.70x = 1,252,246,222,129,669.50
  5. Step 5: Solve for x
    x = 1,252,246,222,129,669.50/29,897,429.70
  6. Step 6: Final answer
    x = 41,884,745.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.