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Finding the Fourth Proportional to 255,303,832.80, 382,388,878.80 and 209,954,200.80

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Solution

The fourth proportional to 255,303,832.80, 382,388,878.80 and 209,954,200.80 is: 314,465,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,303,832.80 : 382,388,878.80 = 209,954,200.80 : x
  2. Step 2: Convert to fraction form
    255,303,832.80/382,388,878.80 = 209,954,200.80/x
  3. Step 3: Cross multiply
    255,303,832.80x = 382,388,878.80 × 209,954,200.80
  4. Step 4: Simplify right side
    255,303,832.80x = 80,284,151,443,262,064
  5. Step 5: Solve for x
    x = 80,284,151,443,262,064/255,303,832.80
  6. Step 6: Final answer
    x = 314,465,124.02

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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.