Finding the Fourth Proportional to 1,762,029,703,439.40, 2,431,601,107,677.60 and 980,746,064,228.79
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Solution
The fourth proportional to 1,762,029,703,439.40, 2,431,601,107,677.60 and 980,746,064,228.79 is: 1,353,429,633,719.67
Step by Step Solution
- Step 1: Write the proportion equation
1,762,029,703,439.40 : 2,431,601,107,677.60 = 980,746,064,228.79 : x - Step 2: Convert to fraction form
1,762,029,703,439.40/2,431,601,107,677.60 = 980,746,064,228.79/x - Step 3: Cross multiply
1,762,029,703,439.40x = 2,431,601,107,677.60 × 980,746,064,228.79 - Step 4: Simplify right side
1,762,029,703,439.40x = 2,384,783,216,129,172,679,163,904 - Step 5: Solve for x
x = 2,384,783,216,129,172,679,163,904/1,762,029,703,439.40 - Step 6: Final answer
x = 1,353,429,633,719.67
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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.