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Finding the Fourth Proportional to 201,471,102.30, 302,206,653.45 and 185,346,788.70

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Solution

The fourth proportional to 201,471,102.30, 302,206,653.45 and 185,346,788.70 is: 278,020,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,471,102.30 : 302,206,653.45 = 185,346,788.70 : x
  2. Step 2: Convert to fraction form
    201,471,102.30/302,206,653.45 = 185,346,788.70/x
  3. Step 3: Cross multiply
    201,471,102.30x = 302,206,653.45 × 185,346,788.70
  4. Step 4: Simplify right side
    201,471,102.30x = 56,013,032,740,731,272
  5. Step 5: Solve for x
    x = 56,013,032,740,731,272/201,471,102.30
  6. Step 6: Final answer
    x = 278,020,183.05

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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.