Finding the Fourth Proportional to 119,815,106,398.07, 165,350,044,322.29 and 66,351,078,916.07
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Solution
The fourth proportional to 119,815,106,398.07, 165,350,044,322.29 and 66,351,078,916.07 is: 91,567,367,166.15
Step by Step Solution
- Step 1: Write the proportion equation
119,815,106,398.07 : 165,350,044,322.29 = 66,351,078,916.07 : x - Step 2: Convert to fraction form
119,815,106,398.07/165,350,044,322.29 = 66,351,078,916.07/x - Step 3: Cross multiply
119,815,106,398.07x = 165,350,044,322.29 × 66,351,078,916.07 - Step 4: Simplify right side
119,815,106,398.07x = 10,971,153,839,603,111,165,952 - Step 5: Solve for x
x = 10,971,153,839,603,111,165,952/119,815,106,398.07 - Step 6: Final answer
x = 91,567,367,166.15
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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.