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Finding the Fourth Proportional to 4,653,969,968.70, 6,980,954,953.05 and 4,653,969,968.70

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Solution

The fourth proportional to 4,653,969,968.70, 6,980,954,953.05 and 4,653,969,968.70 is: 6,980,954,953.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653,969,968.70 : 6,980,954,953.05 = 4,653,969,968.70 : x
  2. Step 2: Convert to fraction form
    4,653,969,968.70/6,980,954,953.05 = 4,653,969,968.70/x
  3. Step 3: Cross multiply
    4,653,969,968.70x = 6,980,954,953.05 × 4,653,969,968.70
  4. Step 4: Simplify right side
    4,653,969,968.70x = 32,489,154,704,342,216,704
  5. Step 5: Solve for x
    x = 32,489,154,704,342,216,704/4,653,969,968.70
  6. Step 6: Final answer
    x = 6,980,954,953.05

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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.