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Finding the Fourth Proportional to 137,427,298.20, 206,140,947.30 and 137,427,298.20

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Solution

The fourth proportional to 137,427,298.20, 206,140,947.30 and 137,427,298.20 is: 206,140,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,427,298.20 : 206,140,947.30 = 137,427,298.20 : x
  2. Step 2: Convert to fraction form
    137,427,298.20/206,140,947.30 = 137,427,298.20/x
  3. Step 3: Cross multiply
    137,427,298.20x = 206,140,947.30 × 137,427,298.20
  4. Step 4: Simplify right side
    137,427,298.20x = 28,329,393,435,827,584
  5. Step 5: Solve for x
    x = 28,329,393,435,827,584/137,427,298.20
  6. Step 6: Final answer
    x = 206,140,947.30

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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.