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Finding the Fourth Proportional to 996,421,197.80, 1,494,631,796.70 and 996,421,197.80

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Solution

The fourth proportional to 996,421,197.80, 1,494,631,796.70 and 996,421,197.80 is: 1,494,631,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,421,197.80 : 1,494,631,796.70 = 996,421,197.80 : x
  2. Step 2: Convert to fraction form
    996,421,197.80/1,494,631,796.70 = 996,421,197.80/x
  3. Step 3: Cross multiply
    996,421,197.80x = 1,494,631,796.70 × 996,421,197.80
  4. Step 4: Simplify right side
    996,421,197.80x = 1,489,282,805,137,779,968
  5. Step 5: Solve for x
    x = 1,489,282,805,137,779,968/996,421,197.80
  6. Step 6: Final answer
    x = 1,494,631,796.70

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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.