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Finding the Fourth Proportional to 203,850,400.80, 286,196,776.80 and 203,850,400.80

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Solution

The fourth proportional to 203,850,400.80, 286,196,776.80 and 203,850,400.80 is: 286,196,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,850,400.80 : 286,196,776.80 = 203,850,400.80 : x
  2. Step 2: Convert to fraction form
    203,850,400.80/286,196,776.80 = 203,850,400.80/x
  3. Step 3: Cross multiply
    203,850,400.80x = 286,196,776.80 × 203,850,400.80
  4. Step 4: Simplify right side
    203,850,400.80x = 58,341,327,658,348,144
  5. Step 5: Solve for x
    x = 58,341,327,658,348,144/203,850,400.80
  6. Step 6: Final answer
    x = 286,196,776.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.