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Finding the Fourth Proportional to 264,413,106.20, 370,560,986.20 and 264,413,106.20

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Solution

The fourth proportional to 264,413,106.20, 370,560,986.20 and 264,413,106.20 is: 370,560,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,413,106.20 : 370,560,986.20 = 264,413,106.20 : x
  2. Step 2: Convert to fraction form
    264,413,106.20/370,560,986.20 = 264,413,106.20/x
  3. Step 3: Cross multiply
    264,413,106.20x = 370,560,986.20 × 264,413,106.20
  4. Step 4: Simplify right side
    264,413,106.20x = 97,981,181,397,677,328
  5. Step 5: Solve for x
    x = 97,981,181,397,677,328/264,413,106.20
  6. Step 6: Final answer
    x = 370,560,986.20

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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.