Finding the Fourth Proportional to 3,461,508,857.84, 4,778,529,407.16 and 2,319,042,158.96
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Solution
The fourth proportional to 3,461,508,857.84, 4,778,529,407.16 and 2,319,042,158.96 is: 3,201,381,711.89
Step by Step Solution
- Step 1: Write the proportion equation
3,461,508,857.84 : 4,778,529,407.16 = 2,319,042,158.96 : x - Step 2: Convert to fraction form
3,461,508,857.84/4,778,529,407.16 = 2,319,042,158.96/x - Step 3: Cross multiply
3,461,508,857.84x = 4,778,529,407.16 × 2,319,042,158.96 - Step 4: Simplify right side
3,461,508,857.84x = 11,081,611,153,034,174,464 - Step 5: Solve for x
x = 11,081,611,153,034,174,464/3,461,508,857.84 - Step 6: Final answer
x = 3,201,381,711.89
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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.