Finding the Fourth Proportional to 193,344,149,099.23, 266,802,903,764.93 and 106,531,860,720.73
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Solution
The fourth proportional to 193,344,149,099.23, 266,802,903,764.93 and 106,531,860,720.73 is: 147,007,343,724.61
Step by Step Solution
- Step 1: Write the proportion equation
193,344,149,099.23 : 266,802,903,764.93 = 106,531,860,720.73 : x - Step 2: Convert to fraction form
193,344,149,099.23/266,802,903,764.93 = 106,531,860,720.73/x - Step 3: Cross multiply
193,344,149,099.23x = 266,802,903,764.93 × 106,531,860,720.73 - Step 4: Simplify right side
193,344,149,099.23x = 28,423,009,783,771,851,390,976 - Step 5: Solve for x
x = 28,423,009,783,771,851,390,976/193,344,149,099.23 - Step 6: Final answer
x = 147,007,343,724.61
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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.