Finding the Fourth Proportional to 11,659,175,702,151, 16,090,168,235,721 and 6,456,604,371,146.70
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Solution
The fourth proportional to 11,659,175,702,151, 16,090,168,235,721 and 6,456,604,371,146.70 is: 8,910,394,115,089.61
Step by Step Solution
- Step 1: Write the proportion equation
11,659,175,702,151 : 16,090,168,235,721 = 6,456,604,371,146.70 : x - Step 2: Convert to fraction form
11,659,175,702,151/16,090,168,235,721 = 6,456,604,371,146.70/x - Step 3: Cross multiply
11,659,175,702,151x = 16,090,168,235,721 × 6,456,604,371,146.70 - Step 4: Simplify right side
11,659,175,702,151x = 103,887,850,563,241,994,329,522,176 - Step 5: Solve for x
x = 103,887,850,563,241,994,329,522,176/11,659,175,702,151 - Step 6: Final answer
x = 8,910,394,115,089.61
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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.