Finding the Fourth Proportional to 6,454,240,978,875, 9,683,059,538,880 and 2,319,470,726,335
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Solution
The fourth proportional to 6,454,240,978,875, 9,683,059,538,880 and 2,319,470,726,335 is: 3,479,816,327,791.63
Step by Step Solution
- Step 1: Write the proportion equation
6,454,240,978,875 : 9,683,059,538,880 = 2,319,470,726,335 : x - Step 2: Convert to fraction form
6,454,240,978,875/9,683,059,538,880 = 2,319,470,726,335/x - Step 3: Cross multiply
6,454,240,978,875x = 9,683,059,538,880 × 2,319,470,726,335 - Step 4: Simplify right side
6,454,240,978,875x = 22,459,573,141,791,045,280,858,112 - Step 5: Solve for x
x = 22,459,573,141,791,045,280,858,112/6,454,240,978,875 - Step 6: Final answer
x = 3,479,816,327,791.63
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.