Finding the Fourth Proportional to 10,460,197,206, 14,434,934,291.33 and 5,882,460,267.87
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Solution
The fourth proportional to 10,460,197,206, 14,434,934,291.33 and 5,882,460,267.87 is: 8,117,717,645.83
Step by Step Solution
- Step 1: Write the proportion equation
10,460,197,206 : 14,434,934,291.33 = 5,882,460,267.87 : x - Step 2: Convert to fraction form
10,460,197,206/14,434,934,291.33 = 5,882,460,267.87/x - Step 3: Cross multiply
10,460,197,206x = 14,434,934,291.33 × 5,882,460,267.87 - Step 4: Simplify right side
10,460,197,206x = 84,912,927,438,033,518,592 - Step 5: Solve for x
x = 84,912,927,438,033,518,592/10,460,197,206 - Step 6: Final answer
x = 8,117,717,645.83
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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.