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Finding the Fourth Proportional to 838,638,876,657.70, 1,257,958,314,986.50 and 838,638,876,657.70

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Solution

The fourth proportional to 838,638,876,657.70, 1,257,958,314,986.50 and 838,638,876,657.70 is: 1,257,958,314,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,638,876,657.70 : 1,257,958,314,986.50 = 838,638,876,657.70 : x
  2. Step 2: Convert to fraction form
    838,638,876,657.70/1,257,958,314,986.50 = 838,638,876,657.70/x
  3. Step 3: Cross multiply
    838,638,876,657.70x = 1,257,958,314,986.50 × 838,638,876,657.70
  4. Step 4: Simplify right side
    838,638,876,657.70x = 1,054,972,748,162,491,456,946,176
  5. Step 5: Solve for x
    x = 1,054,972,748,162,491,456,946,176/838,638,876,657.70
  6. Step 6: Final answer
    x = 1,257,958,314,986.50

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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.