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Finding the Fourth Proportional to 376,420,608,306.80, 564,630,912,460.20 and 376,420,608,306.80

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Solution

The fourth proportional to 376,420,608,306.80, 564,630,912,460.20 and 376,420,608,306.80 is: 564,630,912,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,420,608,306.80 : 564,630,912,460.20 = 376,420,608,306.80 : x
  2. Step 2: Convert to fraction form
    376,420,608,306.80/564,630,912,460.20 = 376,420,608,306.80/x
  3. Step 3: Cross multiply
    376,420,608,306.80x = 564,630,912,460.20 × 376,420,608,306.80
  4. Step 4: Simplify right side
    376,420,608,306.80x = 212,538,711,537,092,002,840,576
  5. Step 5: Solve for x
    x = 212,538,711,537,092,002,840,576/376,420,608,306.80
  6. Step 6: Final answer
    x = 564,630,912,460.20

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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.