Finding the Fourth Proportional to 9,676,055,270,678.20, 13,352,961,630,976 and 5,226,496,265,637
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Solution
The fourth proportional to 9,676,055,270,678.20, 13,352,961,630,976 and 5,226,496,265,637 is: 7,212,567,740,386.49
Step by Step Solution
- Step 1: Write the proportion equation
9,676,055,270,678.20 : 13,352,961,630,976 = 5,226,496,265,637 : x - Step 2: Convert to fraction form
9,676,055,270,678.20/13,352,961,630,976 = 5,226,496,265,637/x - Step 3: Cross multiply
9,676,055,270,678.20x = 13,352,961,630,976 × 5,226,496,265,637 - Step 4: Simplify right side
9,676,055,270,678.20x = 69,789,204,099,490,207,626,166,272 - Step 5: Solve for x
x = 69,789,204,099,490,207,626,166,272/9,676,055,270,678.20 - Step 6: Final answer
x = 7,212,567,740,386.49
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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.