Finding the Fourth Proportional to 1,611,434,230,825, 2,223,974,243,614 and 917,143,602,192.08
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Solution
The fourth proportional to 1,611,434,230,825, 2,223,974,243,614 and 917,143,602,192.08 is: 1,265,769,157,656.71
Step by Step Solution
- Step 1: Write the proportion equation
1,611,434,230,825 : 2,223,974,243,614 = 917,143,602,192.08 : x - Step 2: Convert to fraction form
1,611,434,230,825/2,223,974,243,614 = 917,143,602,192.08/x - Step 3: Cross multiply
1,611,434,230,825x = 2,223,974,243,614 × 917,143,602,192.08 - Step 4: Simplify right side
1,611,434,230,825x = 2,039,703,748,970,550,201,942,016 - Step 5: Solve for x
x = 2,039,703,748,970,550,201,942,016/1,611,434,230,825 - Step 6: Final answer
x = 1,265,769,157,656.71
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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.