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Finding the Fourth Proportional to 647,098,743.20, 970,648,114.80 and 647,098,743.20

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Solution

The fourth proportional to 647,098,743.20, 970,648,114.80 and 647,098,743.20 is: 970,648,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,098,743.20 : 970,648,114.80 = 647,098,743.20 : x
  2. Step 2: Convert to fraction form
    647,098,743.20/970,648,114.80 = 647,098,743.20/x
  3. Step 3: Cross multiply
    647,098,743.20x = 970,648,114.80 × 647,098,743.20
  4. Step 4: Simplify right side
    647,098,743.20x = 628,105,175,176,529,280
  5. Step 5: Solve for x
    x = 628,105,175,176,529,280/647,098,743.20
  6. Step 6: Final answer
    x = 970,648,114.80

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Similar ratio
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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.