Finding the Fourth Proportional to 1,822,295,716,970, 2,731,530,134,402.40 and 613,126,336,252.77
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Solution
The fourth proportional to 1,822,295,716,970, 2,731,530,134,402.40 and 613,126,336,252.77 is: 919,045,711,447.37
Step by Step Solution
- Step 1: Write the proportion equation
1,822,295,716,970 : 2,731,530,134,402.40 = 613,126,336,252.77 : x - Step 2: Convert to fraction form
1,822,295,716,970/2,731,530,134,402.40 = 613,126,336,252.77/x - Step 3: Cross multiply
1,822,295,716,970x = 2,731,530,134,402.40 × 613,126,336,252.77 - Step 4: Simplify right side
1,822,295,716,970x = 1,674,773,063,670,179,985,096,704 - Step 5: Solve for x
x = 1,674,773,063,670,179,985,096,704/1,822,295,716,970 - Step 6: Final answer
x = 919,045,711,447.37
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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.