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Finding the Fourth Proportional to 313,462,843.60, 470,071,231.80 and 119,271,125.20

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Solution

The fourth proportional to 313,462,843.60, 470,071,231.80 and 119,271,125.20 is: 178,859,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,462,843.60 : 470,071,231.80 = 119,271,125.20 : x
  2. Step 2: Convert to fraction form
    313,462,843.60/470,071,231.80 = 119,271,125.20/x
  3. Step 3: Cross multiply
    313,462,843.60x = 470,071,231.80 × 119,271,125.20
  4. Step 4: Simplify right side
    313,462,843.60x = 56,065,924,740,936,024
  5. Step 5: Solve for x
    x = 56,065,924,740,936,024/313,462,843.60
  6. Step 6: Final answer
    x = 178,859,874.10

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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.