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Finding the Fourth Proportional to 416,019,361.40, 624,029,042.10 and 295,087,009.40

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Solution

The fourth proportional to 416,019,361.40, 624,029,042.10 and 295,087,009.40 is: 442,630,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,019,361.40 : 624,029,042.10 = 295,087,009.40 : x
  2. Step 2: Convert to fraction form
    416,019,361.40/624,029,042.10 = 295,087,009.40/x
  3. Step 3: Cross multiply
    416,019,361.40x = 624,029,042.10 × 295,087,009.40
  4. Step 4: Simplify right side
    416,019,361.40x = 184,142,863,812,035,680
  5. Step 5: Solve for x
    x = 184,142,863,812,035,680/416,019,361.40
  6. Step 6: Final answer
    x = 442,630,514.10

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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.