Finding the Fourth Proportional to 9,475,578,881,597, 13,076,298,856,604 and 5,420,233,389,629
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Solution
The fourth proportional to 9,475,578,881,597, 13,076,298,856,604 and 5,420,233,389,629 is: 7,479,922,077,688.10
Step by Step Solution
- Step 1: Write the proportion equation
9,475,578,881,597 : 13,076,298,856,604 = 5,420,233,389,629 : x - Step 2: Convert to fraction form
9,475,578,881,597/13,076,298,856,604 = 5,420,233,389,629/x - Step 3: Cross multiply
9,475,578,881,597x = 13,076,298,856,604 × 5,420,233,389,629 - Step 4: Simplify right side
9,475,578,881,597x = 70,876,591,675,332,517,563,465,728 - Step 5: Solve for x
x = 70,876,591,675,332,517,563,465,728/9,475,578,881,597 - Step 6: Final answer
x = 7,479,922,077,688.10
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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.