Finding the Fourth Proportional to 45,541,960,482,014, 68,291,406,185,932 and 17,642,509,033,605
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Solution
The fourth proportional to 45,541,960,482,014, 68,291,406,185,932 and 17,642,509,033,605 is: 26,455,421,281,846.68
Step by Step Solution
- Step 1: Write the proportion equation
45,541,960,482,014 : 68,291,406,185,932 = 17,642,509,033,605 : x - Step 2: Convert to fraction form
45,541,960,482,014/68,291,406,185,932 = 17,642,509,033,605/x - Step 3: Cross multiply
45,541,960,482,014x = 68,291,406,185,932 × 17,642,509,033,605 - Step 4: Simplify right side
45,541,960,482,014x = 1,204,831,750,552,893,702,962,937,856 - Step 5: Solve for x
x = 1,204,831,750,552,893,702,962,937,856/45,541,960,482,014 - Step 6: Final answer
x = 26,455,421,281,846.68
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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.