Finding the Fourth Proportional to 141,230,048,199.46, 194,891,852,831.64 and 83,377,063,504.94
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Solution
The fourth proportional to 141,230,048,199.46, 194,891,852,831.64 and 83,377,063,504.94 is: 115,057,033,522.99
Step by Step Solution
- Step 1: Write the proportion equation
141,230,048,199.46 : 194,891,852,831.64 = 83,377,063,504.94 : x - Step 2: Convert to fraction form
141,230,048,199.46/194,891,852,831.64 = 83,377,063,504.94/x - Step 3: Cross multiply
141,230,048,199.46x = 194,891,852,831.64 × 83,377,063,504.94 - Step 4: Simplify right side
141,230,048,199.46x = 16,249,510,390,139,069,661,184 - Step 5: Solve for x
x = 16,249,510,390,139,069,661,184/141,230,048,199.46 - Step 6: Final answer
x = 115,057,033,522.99
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1.5x scale
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.