Finding the Fourth Proportional to 197,558,523,106.10, 272,633,241,410.98 and 107,339,483,365.46
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Solution
The fourth proportional to 197,558,523,106.10, 272,633,241,410.98 and 107,339,483,365.46 is: 148,129,834,244.55
Step by Step Solution
- Step 1: Write the proportion equation
197,558,523,106.10 : 272,633,241,410.98 = 107,339,483,365.46 : x - Step 2: Convert to fraction form
197,558,523,106.10/272,633,241,410.98 = 107,339,483,365.46/x - Step 3: Cross multiply
197,558,523,106.10x = 272,633,241,410.98 × 107,339,483,365.46 - Step 4: Simplify right side
197,558,523,106.10x = 29,264,311,281,305,331,433,472 - Step 5: Solve for x
x = 29,264,311,281,305,331,433,472/197,558,523,106.10 - Step 6: Final answer
x = 148,129,834,244.55
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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.