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Finding the Fourth Proportional to 201,582,416.40, 302,429,611.80 and 86,622,032.40

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Solution

The fourth proportional to 201,582,416.40, 302,429,611.80 and 86,622,032.40 is: 129,957,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,582,416.40 : 302,429,611.80 = 86,622,032.40 : x
  2. Step 2: Convert to fraction form
    201,582,416.40/302,429,611.80 = 86,622,032.40/x
  3. Step 3: Cross multiply
    201,582,416.40x = 302,429,611.80 × 86,622,032.40
  4. Step 4: Simplify right side
    201,582,416.40x = 26,197,067,632,059,024
  5. Step 5: Solve for x
    x = 26,197,067,632,059,024/201,582,416.40
  6. Step 6: Final answer
    x = 129,957,106.87

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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.