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Finding the Fourth Proportional to 614,191,136.63, 921,286,704.94 and 205,247,287.13

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Solution

The fourth proportional to 614,191,136.63, 921,286,704.94 and 205,247,287.13 is: 307,870,930.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,191,136.63 : 921,286,704.94 = 205,247,287.13 : x
  2. Step 2: Convert to fraction form
    614,191,136.63/921,286,704.94 = 205,247,287.13/x
  3. Step 3: Cross multiply
    614,191,136.63x = 921,286,704.94 × 205,247,287.13
  4. Step 4: Simplify right side
    614,191,136.63x = 189,091,596,852,756,320
  5. Step 5: Solve for x
    x = 189,091,596,852,756,320/614,191,136.63
  6. Step 6: Final answer
    x = 307,870,930.69

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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.