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Finding the Fourth Proportional to 7,843,765,053.60, 11,765,647,580.40 and 7,843,765,053.60

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Solution

The fourth proportional to 7,843,765,053.60, 11,765,647,580.40 and 7,843,765,053.60 is: 11,765,647,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843,765,053.60 : 11,765,647,580.40 = 7,843,765,053.60 : x
  2. Step 2: Convert to fraction form
    7,843,765,053.60/11,765,647,580.40 = 7,843,765,053.60/x
  3. Step 3: Cross multiply
    7,843,765,053.60x = 11,765,647,580.40 × 7,843,765,053.60
  4. Step 4: Simplify right side
    7,843,765,053.60x = 92,286,975,324,114,911,232
  5. Step 5: Solve for x
    x = 92,286,975,324,114,911,232/7,843,765,053.60
  6. Step 6: Final answer
    x = 11,765,647,580.40

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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.