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Finding the Fourth Proportional to 208,841,113.86, 311,728,698.57 and 193,450,582.50

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Solution

The fourth proportional to 208,841,113.86, 311,728,698.57 and 193,450,582.50 is: 288,755,873.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,841,113.86 : 311,728,698.57 = 193,450,582.50 : x
  2. Step 2: Convert to fraction form
    208,841,113.86/311,728,698.57 = 193,450,582.50/x
  3. Step 3: Cross multiply
    208,841,113.86x = 311,728,698.57 × 193,450,582.50
  4. Step 4: Simplify right side
    208,841,113.86x = 60,304,098,320,333,416
  5. Step 5: Solve for x
    x = 60,304,098,320,333,416/208,841,113.86
  6. Step 6: Final answer
    x = 288,755,873.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.