Finding the Fourth Proportional to 326,256,018,697.14, 489,459,736,212.03 and 102,660,157,631.94
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Solution
The fourth proportional to 326,256,018,697.14, 489,459,736,212.03 and 102,660,157,631.94 is: 154,014,058,881.35
Step by Step Solution
- Step 1: Write the proportion equation
326,256,018,697.14 : 489,459,736,212.03 = 102,660,157,631.94 : x - Step 2: Convert to fraction form
326,256,018,697.14/489,459,736,212.03 = 102,660,157,631.94/x - Step 3: Cross multiply
326,256,018,697.14x = 489,459,736,212.03 × 102,660,157,631.94 - Step 4: Simplify right side
326,256,018,697.14x = 50,248,013,674,014,775,967,744 - Step 5: Solve for x
x = 50,248,013,674,014,775,967,744/326,256,018,697.14 - Step 6: Final answer
x = 154,014,058,881.35
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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.