Finding the Fourth Proportional to 299,585,413,507.34, 449,332,715,409.98 and 81,535,852,148.91
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Solution
The fourth proportional to 299,585,413,507.34, 449,332,715,409.98 and 81,535,852,148.91 is: 122,291,420,735.14
Step by Step Solution
- Step 1: Write the proportion equation
299,585,413,507.34 : 449,332,715,409.98 = 81,535,852,148.91 : x - Step 2: Convert to fraction form
299,585,413,507.34/449,332,715,409.98 = 81,535,852,148.91/x - Step 3: Cross multiply
299,585,413,507.34x = 449,332,715,409.98 × 81,535,852,148.91 - Step 4: Simplify right side
299,585,413,507.34x = 36,636,725,849,337,725,190,144 - Step 5: Solve for x
x = 36,636,725,849,337,725,190,144/299,585,413,507.34 - Step 6: Final answer
x = 122,291,420,735.14
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1.5x scale
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.