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Finding the Fourth Proportional to 565,845,264,584.20, 848,767,896,876.30 and 565,845,264,584.20

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Solution

The fourth proportional to 565,845,264,584.20, 848,767,896,876.30 and 565,845,264,584.20 is: 848,767,896,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,845,264,584.20 : 848,767,896,876.30 = 565,845,264,584.20 : x
  2. Step 2: Convert to fraction form
    565,845,264,584.20/848,767,896,876.30 = 565,845,264,584.20/x
  3. Step 3: Cross multiply
    565,845,264,584.20x = 848,767,896,876.30 × 565,845,264,584.20
  4. Step 4: Simplify right side
    565,845,264,584.20x = 480,271,295,178,544,951,328,768
  5. Step 5: Solve for x
    x = 480,271,295,178,544,951,328,768/565,845,264,584.20
  6. Step 6: Final answer
    x = 848,767,896,876.30

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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.