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Finding the Fourth Proportional to 416,047,768.80, 624,071,653.20 and 201,056,920.80

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Solution

The fourth proportional to 416,047,768.80, 624,071,653.20 and 201,056,920.80 is: 301,585,381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,047,768.80 : 624,071,653.20 = 201,056,920.80 : x
  2. Step 2: Convert to fraction form
    416,047,768.80/624,071,653.20 = 201,056,920.80/x
  3. Step 3: Cross multiply
    416,047,768.80x = 624,071,653.20 × 201,056,920.80
  4. Step 4: Simplify right side
    416,047,768.80x = 125,473,924,950,957,488
  5. Step 5: Solve for x
    x = 125,473,924,950,957,488/416,047,768.80
  6. Step 6: Final answer
    x = 301,585,381.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.