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Finding the Fourth Proportional to 52,164,324,986.40, 78,246,487,479.60 and 52,164,324,986.40

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Solution

The fourth proportional to 52,164,324,986.40, 78,246,487,479.60 and 52,164,324,986.40 is: 78,246,487,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,164,324,986.40 : 78,246,487,479.60 = 52,164,324,986.40 : x
  2. Step 2: Convert to fraction form
    52,164,324,986.40/78,246,487,479.60 = 52,164,324,986.40/x
  3. Step 3: Cross multiply
    52,164,324,986.40x = 78,246,487,479.60 × 52,164,324,986.40
  4. Step 4: Simplify right side
    52,164,324,986.40x = 4,081,675,201,930,133,504,000
  5. Step 5: Solve for x
    x = 4,081,675,201,930,133,504,000/52,164,324,986.40
  6. Step 6: Final answer
    x = 78,246,487,479.60

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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.