Finding the Fourth Proportional to 284,022,045,750.04, 391,950,634,450.34 and 153,811,911,098.68
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Solution
The fourth proportional to 284,022,045,750.04, 391,950,634,450.34 and 153,811,911,098.68 is: 212,260,551,753.80
Step by Step Solution
- Step 1: Write the proportion equation
284,022,045,750.04 : 391,950,634,450.34 = 153,811,911,098.68 : x - Step 2: Convert to fraction form
284,022,045,750.04/391,950,634,450.34 = 153,811,911,098.68/x - Step 3: Cross multiply
284,022,045,750.04x = 391,950,634,450.34 × 153,811,911,098.68 - Step 4: Simplify right side
284,022,045,750.04x = 60,286,676,141,146,921,500,672 - Step 5: Solve for x
x = 60,286,676,141,146,921,500,672/284,022,045,750.04 - Step 6: Final answer
x = 212,260,551,753.80
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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.