Finding the Fourth Proportional to 8,221,493,224.49, 11,345,669,046.61 and 4,462,304,567.18
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Solution
The fourth proportional to 8,221,493,224.49, 11,345,669,046.61 and 4,462,304,567.18 is: 6,157,984,860.17
Step by Step Solution
- Step 1: Write the proportion equation
8,221,493,224.49 : 11,345,669,046.61 = 4,462,304,567.18 : x - Step 2: Convert to fraction form
8,221,493,224.49/11,345,669,046.61 = 4,462,304,567.18/x - Step 3: Cross multiply
8,221,493,224.49x = 11,345,669,046.61 × 4,462,304,567.18 - Step 4: Simplify right side
8,221,493,224.49x = 50,627,830,804,334,911,488 - Step 5: Solve for x
x = 50,627,830,804,334,911,488/8,221,493,224.49 - Step 6: Final answer
x = 6,157,984,860.17
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1.5x scale
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.