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Finding the Fourth Proportional to 959,095,991.10, 1,438,643,986.65 and 959,095,991.10

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Solution

The fourth proportional to 959,095,991.10, 1,438,643,986.65 and 959,095,991.10 is: 1,438,643,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,095,991.10 : 1,438,643,986.65 = 959,095,991.10 : x
  2. Step 2: Convert to fraction form
    959,095,991.10/1,438,643,986.65 = 959,095,991.10/x
  3. Step 3: Cross multiply
    959,095,991.10x = 1,438,643,986.65 × 959,095,991.10
  4. Step 4: Simplify right side
    959,095,991.10x = 1,379,797,680,216,136,960
  5. Step 5: Solve for x
    x = 1,379,797,680,216,136,960/959,095,991.10
  6. Step 6: Final answer
    x = 1,438,643,986.65

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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.