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Finding the Fourth Proportional to 2,369,997,243.40, 3,309,833,207 and 2,369,997,243.40

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Solution

The fourth proportional to 2,369,997,243.40, 3,309,833,207 and 2,369,997,243.40 is: 3,309,833,207

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369,997,243.40 : 3,309,833,207 = 2,369,997,243.40 : x
  2. Step 2: Convert to fraction form
    2,369,997,243.40/3,309,833,207 = 2,369,997,243.40/x
  3. Step 3: Cross multiply
    2,369,997,243.40x = 3,309,833,207 × 2,369,997,243.40
  4. Step 4: Simplify right side
    2,369,997,243.40x = 7,844,295,576,703,781,888
  5. Step 5: Solve for x
    x = 7,844,295,576,703,781,888/2,369,997,243.40
  6. Step 6: Final answer
    x = 3,309,833,207

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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.