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Finding the Fourth Proportional to 263,016,709.30, 369,029,608.70 and 263,016,709.30

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Solution

The fourth proportional to 263,016,709.30, 369,029,608.70 and 263,016,709.30 is: 369,029,608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,016,709.30 : 369,029,608.70 = 263,016,709.30 : x
  2. Step 2: Convert to fraction form
    263,016,709.30/369,029,608.70 = 263,016,709.30/x
  3. Step 3: Cross multiply
    263,016,709.30x = 369,029,608.70 × 263,016,709.30
  4. Step 4: Simplify right side
    263,016,709.30x = 97,060,953,314,540,656
  5. Step 5: Solve for x
    x = 97,060,953,314,540,656/263,016,709.30
  6. Step 6: Final answer
    x = 369,029,608.70

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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.