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Finding the Fourth Proportional to 996,413,404.65, 1,494,620,106.98 and 996,413,404.65

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Solution

The fourth proportional to 996,413,404.65, 1,494,620,106.98 and 996,413,404.65 is: 1,494,620,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,413,404.65 : 1,494,620,106.98 = 996,413,404.65 : x
  2. Step 2: Convert to fraction form
    996,413,404.65/1,494,620,106.98 = 996,413,404.65/x
  3. Step 3: Cross multiply
    996,413,404.65x = 1,494,620,106.98 × 996,413,404.65
  4. Step 4: Simplify right side
    996,413,404.65x = 1,489,259,509,449,306,880
  5. Step 5: Solve for x
    x = 1,489,259,509,449,306,880/996,413,404.65
  6. Step 6: Final answer
    x = 1,494,620,106.98

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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.