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Finding the Fourth Proportional to 209,959,646.80, 314,939,470.20 and 188,796,485.20

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Solution

The fourth proportional to 209,959,646.80, 314,939,470.20 and 188,796,485.20 is: 283,194,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,959,646.80 : 314,939,470.20 = 188,796,485.20 : x
  2. Step 2: Convert to fraction form
    209,959,646.80/314,939,470.20 = 188,796,485.20/x
  3. Step 3: Cross multiply
    209,959,646.80x = 314,939,470.20 × 188,796,485.20
  4. Step 4: Simplify right side
    209,959,646.80x = 59,459,465,024,510,136
  5. Step 5: Solve for x
    x = 59,459,465,024,510,136/209,959,646.80
  6. Step 6: Final answer
    x = 283,194,727.80

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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.