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Finding the Fourth Proportional to 2,270,042,709.15, 3,405,064,063.73 and 2,270,042,709.15

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Solution

The fourth proportional to 2,270,042,709.15, 3,405,064,063.73 and 2,270,042,709.15 is: 3,405,064,063.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270,042,709.15 : 3,405,064,063.73 = 2,270,042,709.15 : x
  2. Step 2: Convert to fraction form
    2,270,042,709.15/3,405,064,063.73 = 2,270,042,709.15/x
  3. Step 3: Cross multiply
    2,270,042,709.15x = 3,405,064,063.73 × 2,270,042,709.15
  4. Step 4: Simplify right side
    2,270,042,709.15x = 7,729,640,852,047,607,808
  5. Step 5: Solve for x
    x = 7,729,640,852,047,607,808/2,270,042,709.15
  6. Step 6: Final answer
    x = 3,405,064,063.73

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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.