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Finding the Fourth Proportional to 430,728,192,000.60, 646,092,288,000.90 and 430,728,192,000.60

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Solution

The fourth proportional to 430,728,192,000.60, 646,092,288,000.90 and 430,728,192,000.60 is: 646,092,288,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,728,192,000.60 : 646,092,288,000.90 = 430,728,192,000.60 : x
  2. Step 2: Convert to fraction form
    430,728,192,000.60/646,092,288,000.90 = 430,728,192,000.60/x
  3. Step 3: Cross multiply
    430,728,192,000.60x = 646,092,288,000.90 × 430,728,192,000.60
  4. Step 4: Simplify right side
    430,728,192,000.60x = 278,290,163,076,158,604,705,792
  5. Step 5: Solve for x
    x = 278,290,163,076,158,604,705,792/430,728,192,000.60
  6. Step 6: Final answer
    x = 646,092,288,000.90

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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.