Finding the Fourth Proportional to 10,460,197,187.96, 14,434,934,266.53 and 5,882,460,249.83
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Solution
The fourth proportional to 10,460,197,187.96, 14,434,934,266.53 and 5,882,460,249.83 is: 8,117,717,620.99
Step by Step Solution
- Step 1: Write the proportion equation
10,460,197,187.96 : 14,434,934,266.53 = 5,882,460,249.83 : x - Step 2: Convert to fraction form
10,460,197,187.96/14,434,934,266.53 = 5,882,460,249.83/x - Step 3: Cross multiply
10,460,197,187.96x = 14,434,934,266.53 × 5,882,460,249.83 - Step 4: Simplify right side
10,460,197,187.96x = 84,912,927,031,699,521,536 - Step 5: Solve for x
x = 84,912,927,031,699,521,536/10,460,197,187.96 - Step 6: Final answer
x = 8,117,717,620.99
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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.