Finding the Fourth Proportional to 9,546,404,658,059.10, 14,319,606,971,025 and 2,293,907,123,261.80
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Solution
The fourth proportional to 9,546,404,658,059.10, 14,319,606,971,025 and 2,293,907,123,261.80 is: 3,440,860,681,032.76
Step by Step Solution
- Step 1: Write the proportion equation
9,546,404,658,059.10 : 14,319,606,971,025 = 2,293,907,123,261.80 : x - Step 2: Convert to fraction form
9,546,404,658,059.10/14,319,606,971,025 = 2,293,907,123,261.80/x - Step 3: Cross multiply
9,546,404,658,059.10x = 14,319,606,971,025 × 2,293,907,123,261.80 - Step 4: Simplify right side
9,546,404,658,059.10x = 32,847,848,433,143,572,663,894,016 - Step 5: Solve for x
x = 32,847,848,433,143,572,663,894,016/9,546,404,658,059.10 - Step 6: Final answer
x = 3,440,860,681,032.76
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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.