Finding the Fourth Proportional to 633,525,561,108.90, 874,281,843,863.03 and 344,510,723,860
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Solution
The fourth proportional to 633,525,561,108.90, 874,281,843,863.03 and 344,510,723,860 is: 475,433,809,426.25
Step by Step Solution
- Step 1: Write the proportion equation
633,525,561,108.90 : 874,281,843,863.03 = 344,510,723,860 : x - Step 2: Convert to fraction form
633,525,561,108.90/874,281,843,863.03 = 344,510,723,860/x - Step 3: Cross multiply
633,525,561,108.90x = 874,281,843,863.03 × 344,510,723,860 - Step 4: Simplify right side
633,525,561,108.90x = 301,199,470,886,907,973,468,160 - Step 5: Solve for x
x = 301,199,470,886,907,973,468,160/633,525,561,108.90 - Step 6: Final answer
x = 475,433,809,426.25
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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.