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Finding the Fourth Proportional to 908,500,511.85, 1,362,750,767.78 and 908,500,511.85

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Solution

The fourth proportional to 908,500,511.85, 1,362,750,767.78 and 908,500,511.85 is: 1,362,750,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,500,511.85 : 1,362,750,767.78 = 908,500,511.85 : x
  2. Step 2: Convert to fraction form
    908,500,511.85/1,362,750,767.78 = 908,500,511.85/x
  3. Step 3: Cross multiply
    908,500,511.85x = 1,362,750,767.78 × 908,500,511.85
  4. Step 4: Simplify right side
    908,500,511.85x = 1,238,059,770,047,568,128
  5. Step 5: Solve for x
    x = 1,238,059,770,047,568,128/908,500,511.85
  6. Step 6: Final answer
    x = 1,362,750,767.78

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1.5x scale

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.