Finding the Fourth Proportional to 3,257,175,994,841, 4,495,107,009,041.40 and 1,793,952,517,035.40
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Solution
The fourth proportional to 3,257,175,994,841, 4,495,107,009,041.40 and 1,793,952,517,035.40 is: 2,475,766,905,437.65
Step by Step Solution
- Step 1: Write the proportion equation
3,257,175,994,841 : 4,495,107,009,041.40 = 1,793,952,517,035.40 : x - Step 2: Convert to fraction form
3,257,175,994,841/4,495,107,009,041.40 = 1,793,952,517,035.40/x - Step 3: Cross multiply
3,257,175,994,841x = 4,495,107,009,041.40 × 1,793,952,517,035.40 - Step 4: Simplify right side
3,257,175,994,841x = 8,064,008,533,213,288,136,179,712 - Step 5: Solve for x
x = 8,064,008,533,213,288,136,179,712/3,257,175,994,841 - Step 6: Final answer
x = 2,475,766,905,437.65
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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.