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Finding the Fourth Proportional to 647,441,840.40, 971,162,760.60 and 647,441,840.40

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Solution

The fourth proportional to 647,441,840.40, 971,162,760.60 and 647,441,840.40 is: 971,162,760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,441,840.40 : 971,162,760.60 = 647,441,840.40 : x
  2. Step 2: Convert to fraction form
    647,441,840.40/971,162,760.60 = 647,441,840.40/x
  3. Step 3: Cross multiply
    647,441,840.40x = 971,162,760.60 × 647,441,840.40
  4. Step 4: Simplify right side
    647,441,840.40x = 628,771,405,050,808,576
  5. Step 5: Solve for x
    x = 628,771,405,050,808,576/647,441,840.40
  6. Step 6: Final answer
    x = 971,162,760.60

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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.