Finding the Fourth Proportional to 3,578,073,946,303, 5,367,864,801,022 and 1,160,386,250,693
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Solution
The fourth proportional to 3,578,073,946,303, 5,367,864,801,022 and 1,160,386,250,693 is: 1,740,823,863,386.24
Step by Step Solution
- Step 1: Write the proportion equation
3,578,073,946,303 : 5,367,864,801,022 = 1,160,386,250,693 : x - Step 2: Convert to fraction form
3,578,073,946,303/5,367,864,801,022 = 1,160,386,250,693/x - Step 3: Cross multiply
3,578,073,946,303x = 5,367,864,801,022 × 1,160,386,250,693 - Step 4: Simplify right side
3,578,073,946,303x = 6,228,796,510,684,845,237,600,256 - Step 5: Solve for x
x = 6,228,796,510,684,845,237,600,256/3,578,073,946,303 - Step 6: Final answer
x = 1,740,823,863,386.24
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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.