Finding the Fourth Proportional to 602,937,165,233.92, 904,672,823,935.68 and 316,027,036,251.02
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Solution
The fourth proportional to 602,937,165,233.92, 904,672,823,935.68 and 316,027,036,251.02 is: 474,180,541,208.33
Step by Step Solution
- Step 1: Write the proportion equation
602,937,165,233.92 : 904,672,823,935.68 = 316,027,036,251.02 : x - Step 2: Convert to fraction form
602,937,165,233.92/904,672,823,935.68 = 316,027,036,251.02/x - Step 3: Cross multiply
602,937,165,233.92x = 904,672,823,935.68 × 316,027,036,251.02 - Step 4: Simplify right side
602,937,165,233.92x = 285,901,071,325,233,812,602,880 - Step 5: Solve for x
x = 285,901,071,325,233,812,602,880/602,937,165,233.92 - Step 6: Final answer
x = 474,180,541,208.33
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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.