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Finding the Fourth Proportional to 9,106,708,214.40, 13,660,062,321.60 and 9,106,708,214.40

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Solution

The fourth proportional to 9,106,708,214.40, 13,660,062,321.60 and 9,106,708,214.40 is: 13,660,062,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106,708,214.40 : 13,660,062,321.60 = 9,106,708,214.40 : x
  2. Step 2: Convert to fraction form
    9,106,708,214.40/13,660,062,321.60 = 9,106,708,214.40/x
  3. Step 3: Cross multiply
    9,106,708,214.40x = 13,660,062,321.60 × 9,106,708,214.40
  4. Step 4: Simplify right side
    9,106,708,214.40x = 124,398,201,753,330,647,040
  5. Step 5: Solve for x
    x = 124,398,201,753,330,647,040/9,106,708,214.40
  6. Step 6: Final answer
    x = 13,660,062,321.60

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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.