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Finding the Fourth Proportional to 106,889,948.40, 147,509,843.40 and 57,997,376.40

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Solution

The fourth proportional to 106,889,948.40, 147,509,843.40 and 57,997,376.40 is: 80,037,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,889,948.40 : 147,509,843.40 = 57,997,376.40 : x
  2. Step 2: Convert to fraction form
    106,889,948.40/147,509,843.40 = 57,997,376.40/x
  3. Step 3: Cross multiply
    106,889,948.40x = 147,509,843.40 × 57,997,376.40
  4. Step 4: Simplify right side
    106,889,948.40x = 8,555,183,910,374,856
  5. Step 5: Solve for x
    x = 8,555,183,910,374,856/106,889,948.40
  6. Step 6: Final answer
    x = 80,037,309.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.