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Finding the Fourth Proportional to 202,448,807.80, 303,673,211.70 and 148,302,964.60

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Solution

The fourth proportional to 202,448,807.80, 303,673,211.70 and 148,302,964.60 is: 222,454,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,448,807.80 : 303,673,211.70 = 148,302,964.60 : x
  2. Step 2: Convert to fraction form
    202,448,807.80/303,673,211.70 = 148,302,964.60/x
  3. Step 3: Cross multiply
    202,448,807.80x = 303,673,211.70 × 148,302,964.60
  4. Step 4: Simplify right side
    202,448,807.80x = 45,035,637,564,713,400
  5. Step 5: Solve for x
    x = 45,035,637,564,713,400/202,448,807.80
  6. Step 6: Final answer
    x = 222,454,446.90

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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.