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Finding the Fourth Proportional to 45,980,909,863.10, 68,971,364,794.65 and 45,980,909,863.10

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Solution

The fourth proportional to 45,980,909,863.10, 68,971,364,794.65 and 45,980,909,863.10 is: 68,971,364,794.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,980,909,863.10 : 68,971,364,794.65 = 45,980,909,863.10 : x
  2. Step 2: Convert to fraction form
    45,980,909,863.10/68,971,364,794.65 = 45,980,909,863.10/x
  3. Step 3: Cross multiply
    45,980,909,863.10x = 68,971,364,794.65 × 45,980,909,863.10
  4. Step 4: Simplify right side
    45,980,909,863.10x = 3,171,366,107,757,789,839,360
  5. Step 5: Solve for x
    x = 3,171,366,107,757,789,839,360/45,980,909,863.10
  6. Step 6: Final answer
    x = 68,971,364,794.65

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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.