Finding the Fourth Proportional to 6,795,683,592,498.80, 10,195,133,056,232 and 2,206,203,624,682.20
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Solution
The fourth proportional to 6,795,683,592,498.80, 10,195,133,056,232 and 2,206,203,624,682.20 is: 3,309,827,362,710.65
Step by Step Solution
- Step 1: Write the proportion equation
6,795,683,592,498.80 : 10,195,133,056,232 = 2,206,203,624,682.20 : x - Step 2: Convert to fraction form
6,795,683,592,498.80/10,195,133,056,232 = 2,206,203,624,682.20/x - Step 3: Cross multiply
6,795,683,592,498.80x = 10,195,133,056,232 × 2,206,203,624,682.20 - Step 4: Simplify right side
6,795,683,592,498.80x = 22,492,539,502,776,357,243,322,368 - Step 5: Solve for x
x = 22,492,539,502,776,357,243,322,368/6,795,683,592,498.80 - Step 6: Final answer
x = 3,309,827,362,710.65
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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.