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Finding the Fourth Proportional to 2,000,375,999.70, 3,000,563,999.55 and 546,353,423.70

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Solution

The fourth proportional to 2,000,375,999.70, 3,000,563,999.55 and 546,353,423.70 is: 819,530,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,375,999.70 : 3,000,563,999.55 = 546,353,423.70 : x
  2. Step 2: Convert to fraction form
    2,000,375,999.70/3,000,563,999.55 = 546,353,423.70/x
  3. Step 3: Cross multiply
    2,000,375,999.70x = 3,000,563,999.55 × 546,353,423.70
  4. Step 4: Simplify right side
    2,000,375,999.70x = 1,639,368,414,185,107,968
  5. Step 5: Solve for x
    x = 1,639,368,414,185,107,968/2,000,375,999.70
  6. Step 6: Final answer
    x = 819,530,135.55

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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.