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Finding the Fourth Proportional to 57,703,085,140.15, 86,554,627,710.23 and 57,703,085,140.15

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Solution

The fourth proportional to 57,703,085,140.15, 86,554,627,710.23 and 57,703,085,140.15 is: 86,554,627,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,703,085,140.15 : 86,554,627,710.23 = 57,703,085,140.15 : x
  2. Step 2: Convert to fraction form
    57,703,085,140.15/86,554,627,710.23 = 57,703,085,140.15/x
  3. Step 3: Cross multiply
    57,703,085,140.15x = 86,554,627,710.23 × 57,703,085,140.15
  4. Step 4: Simplify right side
    57,703,085,140.15x = 4,994,469,052,037,387,517,952
  5. Step 5: Solve for x
    x = 4,994,469,052,037,387,517,952/57,703,085,140.15
  6. Step 6: Final answer
    x = 86,554,627,710.23

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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.