Finding the Fourth Proportional to 9,153,716,366,189, 12,623,643,435,598 and 6,680,609,926,248
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Solution
The fourth proportional to 9,153,716,366,189, 12,623,643,435,598 and 6,680,609,926,248 is: 9,213,049,024,850.04
Step by Step Solution
- Step 1: Write the proportion equation
9,153,716,366,189 : 12,623,643,435,598 = 6,680,609,926,248 : x - Step 2: Convert to fraction form
9,153,716,366,189/12,623,643,435,598 = 6,680,609,926,248/x - Step 3: Cross multiply
9,153,716,366,189x = 12,623,643,435,598 × 6,680,609,926,248 - Step 4: Simplify right side
9,153,716,366,189x = 84,333,637,641,271,401,080,946,688 - Step 5: Solve for x
x = 84,333,637,641,271,401,080,946,688/9,153,716,366,189 - Step 6: Final answer
x = 9,213,049,024,850.04
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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.