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Finding the Fourth Proportional to 580,759,250,978.84, 801,450,257,985.88 and 316,789,702,422.48

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Solution

The fourth proportional to 580,759,250,978.84, 801,450,257,985.88 and 316,789,702,422.48 is: 437,171,148,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,759,250,978.84 : 801,450,257,985.88 = 316,789,702,422.48 : x
  2. Step 2: Convert to fraction form
    580,759,250,978.84/801,450,257,985.88 = 316,789,702,422.48/x
  3. Step 3: Cross multiply
    580,759,250,978.84x = 801,450,257,985.88 × 316,789,702,422.48
  4. Step 4: Simplify right side
    580,759,250,978.84x = 253,891,188,733,766,726,057,984
  5. Step 5: Solve for x
    x = 253,891,188,733,766,726,057,984/580,759,250,978.84
  6. Step 6: Final answer
    x = 437,171,148,467.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.