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Finding the Fourth Proportional to 647,352,002.70, 971,028,004.05 and 647,352,002.70

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Solution

The fourth proportional to 647,352,002.70, 971,028,004.05 and 647,352,002.70 is: 971,028,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,352,002.70 : 971,028,004.05 = 647,352,002.70 : x
  2. Step 2: Convert to fraction form
    647,352,002.70/971,028,004.05 = 647,352,002.70/x
  3. Step 3: Cross multiply
    647,352,002.70x = 971,028,004.05 × 647,352,002.70
  4. Step 4: Simplify right side
    647,352,002.70x = 628,596,923,099,551,232
  5. Step 5: Solve for x
    x = 628,596,923,099,551,232/647,352,002.70
  6. Step 6: Final answer
    x = 971,028,004.05

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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.