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Finding the Fourth Proportional to 34,137,813.20, 51,206,719.80 and 34,137,813.20

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Solution

The fourth proportional to 34,137,813.20, 51,206,719.80 and 34,137,813.20 is: 51,206,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,137,813.20 : 51,206,719.80 = 34,137,813.20 : x
  2. Step 2: Convert to fraction form
    34,137,813.20/51,206,719.80 = 34,137,813.20/x
  3. Step 3: Cross multiply
    34,137,813.20x = 51,206,719.80 × 34,137,813.20
  4. Step 4: Simplify right side
    34,137,813.20x = 1,748,085,435,117,141.50
  5. Step 5: Solve for x
    x = 1,748,085,435,117,141.50/34,137,813.20
  6. Step 6: Final answer
    x = 51,206,719.80

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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.