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Finding the Fourth Proportional to 4,012,912,010,337, 6,019,368,015,505.50 and 4,012,912,010,337

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Solution

The fourth proportional to 4,012,912,010,337, 6,019,368,015,505.50 and 4,012,912,010,337 is: 6,019,368,015,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012,912,010,337 : 6,019,368,015,505.50 = 4,012,912,010,337 : x
  2. Step 2: Convert to fraction form
    4,012,912,010,337/6,019,368,015,505.50 = 4,012,912,010,337/x
  3. Step 3: Cross multiply
    4,012,912,010,337x = 6,019,368,015,505.50 × 4,012,912,010,337
  4. Step 4: Simplify right side
    4,012,912,010,337x = 24,155,194,204,060,412,828,188,672
  5. Step 5: Solve for x
    x = 24,155,194,204,060,412,828,188,672/4,012,912,010,337
  6. Step 6: Final answer
    x = 6,019,368,015,505.50

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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.