Finding the Fourth Proportional to 422,397,546,744.72, 633,875,454,333.50 and 198,871,421,178
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Solution
The fourth proportional to 422,397,546,744.72, 633,875,454,333.50 and 198,871,421,178 is: 298,438,552,554.71
Step by Step Solution
- Step 1: Write the proportion equation
422,397,546,744.72 : 633,875,454,333.50 = 198,871,421,178 : x - Step 2: Convert to fraction form
422,397,546,744.72/633,875,454,333.50 = 198,871,421,178/x - Step 3: Cross multiply
422,397,546,744.72x = 633,875,454,333.50 × 198,871,421,178 - Step 4: Simplify right side
422,397,546,744.72x = 126,059,712,453,153,579,335,680 - Step 5: Solve for x
x = 126,059,712,453,153,579,335,680/422,397,546,744.72 - Step 6: Final answer
x = 298,438,552,554.71
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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.