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Finding the Fourth Proportional to 209,953,798.70, 314,930,698.05 and 185,294,936.30

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Solution

The fourth proportional to 209,953,798.70, 314,930,698.05 and 185,294,936.30 is: 277,942,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953,798.70 : 314,930,698.05 = 185,294,936.30 : x
  2. Step 2: Convert to fraction form
    209,953,798.70/314,930,698.05 = 185,294,936.30/x
  3. Step 3: Cross multiply
    209,953,798.70x = 314,930,698.05 × 185,294,936.30
  4. Step 4: Simplify right side
    209,953,798.70x = 58,355,063,634,089,288
  5. Step 5: Solve for x
    x = 58,355,063,634,089,288/209,953,798.70
  6. Step 6: Final answer
    x = 277,942,404.45

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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.