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Finding the Fourth Proportional to 565,521,863.20, 848,282,794.80 and 293,424,071.20

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Solution

The fourth proportional to 565,521,863.20, 848,282,794.80 and 293,424,071.20 is: 440,136,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,521,863.20 : 848,282,794.80 = 293,424,071.20 : x
  2. Step 2: Convert to fraction form
    565,521,863.20/848,282,794.80 = 293,424,071.20/x
  3. Step 3: Cross multiply
    565,521,863.20x = 848,282,794.80 × 293,424,071.20
  4. Step 4: Simplify right side
    565,521,863.20x = 248,906,591,179,130,176
  5. Step 5: Solve for x
    x = 248,906,591,179,130,176/565,521,863.20
  6. Step 6: Final answer
    x = 440,136,106.80

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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.