Finding the Fourth Proportional to 135,715,666,451.96, 187,296,125,377.07 and 74,748,021,543.39
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Solution
The fourth proportional to 135,715,666,451.96, 187,296,125,377.07 and 74,748,021,543.39 is: 103,156,954,393.58
Step by Step Solution
- Step 1: Write the proportion equation
135,715,666,451.96 : 187,296,125,377.07 = 74,748,021,543.39 : x - Step 2: Convert to fraction form
135,715,666,451.96/187,296,125,377.07 = 74,748,021,543.39/x - Step 3: Cross multiply
135,715,666,451.96x = 187,296,125,377.07 × 74,748,021,543.39 - Step 4: Simplify right side
135,715,666,451.96x = 14,000,014,814,678,704,193,536 - Step 5: Solve for x
x = 14,000,014,814,678,704,193,536/135,715,666,451.96 - Step 6: Final answer
x = 103,156,954,393.58
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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.