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Finding the Fourth Proportional to 565,521,978.20, 848,282,967.30 and 293,424,186.20

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Solution

The fourth proportional to 565,521,978.20, 848,282,967.30 and 293,424,186.20 is: 440,136,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,521,978.20 : 848,282,967.30 = 293,424,186.20 : x
  2. Step 2: Convert to fraction form
    565,521,978.20/848,282,967.30 = 293,424,186.20/x
  3. Step 3: Cross multiply
    565,521,978.20x = 848,282,967.30 × 293,424,186.20
  4. Step 4: Simplify right side
    565,521,978.20x = 248,906,739,347,323,680
  5. Step 5: Solve for x
    x = 248,906,739,347,323,680/565,521,978.20
  6. Step 6: Final answer
    x = 440,136,279.30

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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.