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Finding the Fourth Proportional to 100,908,454,806.60, 151,362,682,209.90 and 100,908,454,806.60

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Solution

The fourth proportional to 100,908,454,806.60, 151,362,682,209.90 and 100,908,454,806.60 is: 151,362,682,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,908,454,806.60 : 151,362,682,209.90 = 100,908,454,806.60 : x
  2. Step 2: Convert to fraction form
    100,908,454,806.60/151,362,682,209.90 = 100,908,454,806.60/x
  3. Step 3: Cross multiply
    100,908,454,806.60x = 151,362,682,209.90 × 100,908,454,806.60
  4. Step 4: Simplify right side
    100,908,454,806.60x = 15,273,774,377,183,452,594,176
  5. Step 5: Solve for x
    x = 15,273,774,377,183,452,594,176/100,908,454,806.60
  6. Step 6: Final answer
    x = 151,362,682,209.90

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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.