Finding the Fourth Proportional to 2,984,809,056, 4,119,013,493.16 and 1,646,755,541.64
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Solution
The fourth proportional to 2,984,809,056, 4,119,013,493.16 and 1,646,755,541.64 is: 2,272,509,955.81
Step by Step Solution
- Step 1: Write the proportion equation
2,984,809,056 : 4,119,013,493.16 = 1,646,755,541.64 : x - Step 2: Convert to fraction form
2,984,809,056/4,119,013,493.16 = 1,646,755,541.64/x - Step 3: Cross multiply
2,984,809,056x = 4,119,013,493.16 × 1,646,755,541.64 - Step 4: Simplify right side
2,984,809,056x = 6,783,008,295,951,164,416 - Step 5: Solve for x
x = 6,783,008,295,951,164,416/2,984,809,056 - Step 6: Final answer
x = 2,272,509,955.81
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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.