Finding the Fourth Proportional to 431,193,398.79, 646,531,525.18 and 197,731,645.49
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Solution
The fourth proportional to 431,193,398.79, 646,531,525.18 and 197,731,645.49 is: 296,478,894.84
Step by Step Solution
- Step 1: Write the proportion equation
431,193,398.79 : 646,531,525.18 = 197,731,645.49 : x - Step 2: Convert to fraction form
431,193,398.79/646,531,525.18 = 197,731,645.49/x - Step 3: Cross multiply
431,193,398.79x = 646,531,525.18 × 197,731,645.49 - Step 4: Simplify right side
431,193,398.79x = 127,839,742,335,000,768 - Step 5: Solve for x
x = 127,839,742,335,000,768/431,193,398.79 - Step 6: Final answer
x = 296,478,894.84
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.