Finding the Fourth Proportional to 1,650,486,542,497.80, 2,476,860,692,342.70 and 576,042,463,012.74
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Solution
The fourth proportional to 1,650,486,542,497.80, 2,476,860,692,342.70 and 576,042,463,012.74 is: 864,458,386,675.05
Step by Step Solution
- Step 1: Write the proportion equation
1,650,486,542,497.80 : 2,476,860,692,342.70 = 576,042,463,012.74 : x - Step 2: Convert to fraction form
1,650,486,542,497.80/2,476,860,692,342.70 = 576,042,463,012.74/x - Step 3: Cross multiply
1,650,486,542,497.80x = 2,476,860,692,342.70 × 576,042,463,012.74 - Step 4: Simplify right side
1,650,486,542,497.80x = 1,426,776,933,756,529,400,610,816 - Step 5: Solve for x
x = 1,426,776,933,756,529,400,610,816/1,650,486,542,497.80 - Step 6: Final answer
x = 864,458,386,675.05
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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.