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Finding the Fourth Proportional to 183,800,291.40, 257,966,108.78 and 183,800,291.40

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Solution

The fourth proportional to 183,800,291.40, 257,966,108.78 and 183,800,291.40 is: 257,966,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,800,291.40 : 257,966,108.78 = 183,800,291.40 : x
  2. Step 2: Convert to fraction form
    183,800,291.40/257,966,108.78 = 183,800,291.40/x
  3. Step 3: Cross multiply
    183,800,291.40x = 257,966,108.78 × 183,800,291.40
  4. Step 4: Simplify right side
    183,800,291.40x = 47,414,245,964,169,096
  5. Step 5: Solve for x
    x = 47,414,245,964,169,096/183,800,291.40
  6. Step 6: Final answer
    x = 257,966,108.78

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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.