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Finding the Fourth Proportional to 565,512,273,016.65, 848,268,409,525.12 and 565,512,273,016.65

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Solution

The fourth proportional to 565,512,273,016.65, 848,268,409,525.12 and 565,512,273,016.65 is: 848,268,409,525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,512,273,016.65 : 848,268,409,525.12 = 565,512,273,016.65 : x
  2. Step 2: Convert to fraction form
    565,512,273,016.65/848,268,409,525.12 = 565,512,273,016.65/x
  3. Step 3: Cross multiply
    565,512,273,016.65x = 848,268,409,525.12 × 565,512,273,016.65
  4. Step 4: Simplify right side
    565,512,273,016.65x = 479,706,196,398,769,138,827,264
  5. Step 5: Solve for x
    x = 479,706,196,398,769,138,827,264/565,512,273,016.65
  6. Step 6: Final answer
    x = 848,268,409,525.12

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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.