Finding the Fourth Proportional to 193,344,149,110.06, 266,802,903,779.85 and 106,531,860,731.63
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Solution
The fourth proportional to 193,344,149,110.06, 266,802,903,779.85 and 106,531,860,731.63 is: 147,007,343,739.63
Step by Step Solution
- Step 1: Write the proportion equation
193,344,149,110.06 : 266,802,903,779.85 = 106,531,860,731.63 : x - Step 2: Convert to fraction form
193,344,149,110.06/266,802,903,779.85 = 106,531,860,731.63/x - Step 3: Cross multiply
193,344,149,110.06x = 266,802,903,779.85 × 106,531,860,731.63 - Step 4: Simplify right side
193,344,149,110.06x = 28,423,009,788,269,462,290,432 - Step 5: Solve for x
x = 28,423,009,788,269,462,290,432/193,344,149,110.06 - Step 6: Final answer
x = 147,007,343,739.63
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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.