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Finding the Fourth Proportional to 470,080,459.20, 705,120,688.80 and 255,089,611.20

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Solution

The fourth proportional to 470,080,459.20, 705,120,688.80 and 255,089,611.20 is: 382,634,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,080,459.20 : 705,120,688.80 = 255,089,611.20 : x
  2. Step 2: Convert to fraction form
    470,080,459.20/705,120,688.80 = 255,089,611.20/x
  3. Step 3: Cross multiply
    470,080,459.20x = 705,120,688.80 × 255,089,611.20
  4. Step 4: Simplify right side
    470,080,459.20x = 179,868,962,355,068,160
  5. Step 5: Solve for x
    x = 179,868,962,355,068,160/470,080,459.20
  6. Step 6: Final answer
    x = 382,634,416.80

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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.