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Finding the Fourth Proportional to 582,201,556,012, 873,320,124,978.69 and 199,740,266,352.82

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Solution

The fourth proportional to 582,201,556,012, 873,320,124,978.69 and 199,740,266,352.82 is: 299,616,503,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,201,556,012 : 873,320,124,978.69 = 199,740,266,352.82 : x
  2. Step 2: Convert to fraction form
    582,201,556,012/873,320,124,978.69 = 199,740,266,352.82/x
  3. Step 3: Cross multiply
    582,201,556,012x = 873,320,124,978.69 × 199,740,266,352.82
  4. Step 4: Simplify right side
    582,201,556,012x = 174,437,194,374,521,569,673,216
  5. Step 5: Solve for x
    x = 174,437,194,374,521,569,673,216/582,201,556,012
  6. Step 6: Final answer
    x = 299,616,503,207.91

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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.