Finding the Fourth Proportional to 296,713,381.24, 409,488,979.08 and 164,596,973.68
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Solution
The fourth proportional to 296,713,381.24, 409,488,979.08 and 164,596,973.68 is: 227,157,421.85
Step by Step Solution
- Step 1: Write the proportion equation
296,713,381.24 : 409,488,979.08 = 164,596,973.68 : x - Step 2: Convert to fraction form
296,713,381.24/409,488,979.08 = 164,596,973.68/x - Step 3: Cross multiply
296,713,381.24x = 409,488,979.08 × 164,596,973.68 - Step 4: Simplify right side
296,713,381.24x = 67,400,646,711,880,832 - Step 5: Solve for x
x = 67,400,646,711,880,832/296,713,381.24 - Step 6: Final answer
x = 227,157,421.85
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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.