Finding the Fourth Proportional to 7,340,264,270,234.10, 11,007,367,089,577 and 2,505,655,323,058.30
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Solution
The fourth proportional to 7,340,264,270,234.10, 11,007,367,089,577 and 2,505,655,323,058.30 is: 3,757,448,904,489.61
Step by Step Solution
- Step 1: Write the proportion equation
7,340,264,270,234.10 : 11,007,367,089,577 = 2,505,655,323,058.30 : x - Step 2: Convert to fraction form
7,340,264,270,234.10/11,007,367,089,577 = 2,505,655,323,058.30/x - Step 3: Cross multiply
7,340,264,270,234.10x = 11,007,367,089,577 × 2,505,655,323,058.30 - Step 4: Simplify right side
7,340,264,270,234.10x = 27,580,667,940,855,353,341,640,704 - Step 5: Solve for x
x = 27,580,667,940,855,353,341,640,704/7,340,264,270,234.10 - Step 6: Final answer
x = 3,757,448,904,489.61
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.