Finding the Fourth Proportional to 4,872,937,606,234, 6,724,815,167,873.60 and 2,678,180,620,214.80
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Solution
The fourth proportional to 4,872,937,606,234, 6,724,815,167,873.60 and 2,678,180,620,214.80 is: 3,695,977,891,053.82
Step by Step Solution
- Step 1: Write the proportion equation
4,872,937,606,234 : 6,724,815,167,873.60 = 2,678,180,620,214.80 : x - Step 2: Convert to fraction form
4,872,937,606,234/6,724,815,167,873.60 = 2,678,180,620,214.80/x - Step 3: Cross multiply
4,872,937,606,234x = 6,724,815,167,873.60 × 2,678,180,620,214.80 - Step 4: Simplify right side
4,872,937,606,234x = 18,010,269,657,125,609,376,055,296 - Step 5: Solve for x
x = 18,010,269,657,125,609,376,055,296/4,872,937,606,234 - Step 6: Final answer
x = 3,695,977,891,053.82
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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.