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Finding the Fourth Proportional to 416,047,712.80, 624,071,569.20 and 201,056,864.80

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Solution

The fourth proportional to 416,047,712.80, 624,071,569.20 and 201,056,864.80 is: 301,585,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,047,712.80 : 624,071,569.20 = 201,056,864.80 : x
  2. Step 2: Convert to fraction form
    416,047,712.80/624,071,569.20 = 201,056,864.80/x
  3. Step 3: Cross multiply
    416,047,712.80x = 624,071,569.20 × 201,056,864.80
  4. Step 4: Simplify right side
    416,047,712.80x = 125,473,873,114,168,256
  5. Step 5: Solve for x
    x = 125,473,873,114,168,256/416,047,712.80
  6. Step 6: Final answer
    x = 301,585,297.20

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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.