Finding the Fourth Proportional to 6,795,683,592,497.60, 10,195,133,056,232 and 2,206,203,624,681.20
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Solution
The fourth proportional to 6,795,683,592,497.60, 10,195,133,056,232 and 2,206,203,624,681.20 is: 3,309,827,362,709.74
Step by Step Solution
- Step 1: Write the proportion equation
6,795,683,592,497.60 : 10,195,133,056,232 = 2,206,203,624,681.20 : x - Step 2: Convert to fraction form
6,795,683,592,497.60/10,195,133,056,232 = 2,206,203,624,681.20/x - Step 3: Cross multiply
6,795,683,592,497.60x = 10,195,133,056,232 × 2,206,203,624,681.20 - Step 4: Simplify right side
6,795,683,592,497.60x = 22,492,539,502,766,160,990,961,664 - Step 5: Solve for x
x = 22,492,539,502,766,160,990,961,664/6,795,683,592,497.60 - Step 6: Final answer
x = 3,309,827,362,709.74
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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.