Finding the Fourth Proportional to 2,272,537,597.16, 3,138,267,795.30 and 2,148,731,322.92
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Solution
The fourth proportional to 2,272,537,597.16, 3,138,267,795.30 and 2,148,731,322.92 is: 2,967,297,139.51
Step by Step Solution
- Step 1: Write the proportion equation
2,272,537,597.16 : 3,138,267,795.30 = 2,148,731,322.92 : x - Step 2: Convert to fraction form
2,272,537,597.16/3,138,267,795.30 = 2,148,731,322.92/x - Step 3: Cross multiply
2,272,537,597.16x = 3,138,267,795.30 × 2,148,731,322.92 - Step 4: Simplify right side
2,272,537,597.16x = 6,743,294,311,472,201,728 - Step 5: Solve for x
x = 6,743,294,311,472,201,728/2,272,537,597.16 - Step 6: Final answer
x = 2,967,297,139.51
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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.