Finding the Fourth Proportional to 106,642,863,207.98, 159,939,816,374.10 and 63,580,173,443.84
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Solution
The fourth proportional to 106,642,863,207.98, 159,939,816,374.10 and 63,580,173,443.84 is: 95,355,666,190.33
Step by Step Solution
- Step 1: Write the proportion equation
106,642,863,207.98 : 159,939,816,374.10 = 63,580,173,443.84 : x - Step 2: Convert to fraction form
106,642,863,207.98/159,939,816,374.10 = 63,580,173,443.84/x - Step 3: Cross multiply
106,642,863,207.98x = 159,939,816,374.10 × 63,580,173,443.84 - Step 4: Simplify right side
106,642,863,207.98x = 10,169,001,265,640,878,637,056 - Step 5: Solve for x
x = 10,169,001,265,640,878,637,056/106,642,863,207.98 - Step 6: Final answer
x = 95,355,666,190.33
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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.