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Finding the Fourth Proportional to 66,802,388,543.80, 100,203,582,815.70 and 66,802,388,543.80

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Solution

The fourth proportional to 66,802,388,543.80, 100,203,582,815.70 and 66,802,388,543.80 is: 100,203,582,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,802,388,543.80 : 100,203,582,815.70 = 66,802,388,543.80 : x
  2. Step 2: Convert to fraction form
    66,802,388,543.80/100,203,582,815.70 = 66,802,388,543.80/x
  3. Step 3: Cross multiply
    66,802,388,543.80x = 100,203,582,815.70 × 66,802,388,543.80
  4. Step 4: Simplify right side
    66,802,388,543.80x = 6,693,838,672,735,232,851,968
  5. Step 5: Solve for x
    x = 6,693,838,672,735,232,851,968/66,802,388,543.80
  6. Step 6: Final answer
    x = 100,203,582,815.70

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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.