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Finding the Fourth Proportional to 313,860,807.40, 470,578,634.70 and 160,380,646.60

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Solution

The fourth proportional to 313,860,807.40, 470,578,634.70 and 160,380,646.60 is: 240,462,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,860,807.40 : 470,578,634.70 = 160,380,646.60 : x
  2. Step 2: Convert to fraction form
    313,860,807.40/470,578,634.70 = 160,380,646.60/x
  3. Step 3: Cross multiply
    313,860,807.40x = 470,578,634.70 × 160,380,646.60
  4. Step 4: Simplify right side
    313,860,807.40x = 75,471,705,709,331,200
  5. Step 5: Solve for x
    x = 75,471,705,709,331,200/313,860,807.40
  6. Step 6: Final answer
    x = 240,462,344.87

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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.