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Finding the Fourth Proportional to 403,633,816,233.40, 605,450,724,350.10 and 403,633,816,233.40

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Solution

The fourth proportional to 403,633,816,233.40, 605,450,724,350.10 and 403,633,816,233.40 is: 605,450,724,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,633,816,233.40 : 605,450,724,350.10 = 403,633,816,233.40 : x
  2. Step 2: Convert to fraction form
    403,633,816,233.40/605,450,724,350.10 = 403,633,816,233.40/x
  3. Step 3: Cross multiply
    403,633,816,233.40x = 605,450,724,350.10 × 403,633,816,233.40
  4. Step 4: Simplify right side
    403,633,816,233.40x = 244,380,386,410,707,183,206,400
  5. Step 5: Solve for x
    x = 244,380,386,410,707,183,206,400/403,633,816,233.40
  6. Step 6: Final answer
    x = 605,450,724,350.10

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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.