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Finding the Fourth Proportional to 318,611,783.20, 477,917,674.80 and 318,611,783.20

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Solution

The fourth proportional to 318,611,783.20, 477,917,674.80 and 318,611,783.20 is: 477,917,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,611,783.20 : 477,917,674.80 = 318,611,783.20 : x
  2. Step 2: Convert to fraction form
    318,611,783.20/477,917,674.80 = 318,611,783.20/x
  3. Step 3: Cross multiply
    318,611,783.20x = 477,917,674.80 × 318,611,783.20
  4. Step 4: Simplify right side
    318,611,783.20x = 152,270,202,590,825,696
  5. Step 5: Solve for x
    x = 152,270,202,590,825,696/318,611,783.20
  6. Step 6: Final answer
    x = 477,917,674.80

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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.