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Finding the Fourth Proportional to 201,471,199.80, 302,206,799.70 and 185,346,886.20

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Solution

The fourth proportional to 201,471,199.80, 302,206,799.70 and 185,346,886.20 is: 278,020,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,471,199.80 : 302,206,799.70 = 185,346,886.20 : x
  2. Step 2: Convert to fraction form
    201,471,199.80/302,206,799.70 = 185,346,886.20/x
  3. Step 3: Cross multiply
    201,471,199.80x = 302,206,799.70 × 185,346,886.20
  4. Step 4: Simplify right side
    201,471,199.80x = 56,013,089,312,862,088
  5. Step 5: Solve for x
    x = 56,013,089,312,862,088/201,471,199.80
  6. Step 6: Final answer
    x = 278,020,329.30

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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.