Finding the Fourth Proportional to 686,376,328,678.14, 947,199,488,185.16 and 377,727,687,702.99
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Solution
The fourth proportional to 686,376,328,678.14, 947,199,488,185.16 and 377,727,687,702.99 is: 521,264,294,114.97
Step by Step Solution
- Step 1: Write the proportion equation
686,376,328,678.14 : 947,199,488,185.16 = 377,727,687,702.99 : x - Step 2: Convert to fraction form
686,376,328,678.14/947,199,488,185.16 = 377,727,687,702.99/x - Step 3: Cross multiply
686,376,328,678.14x = 947,199,488,185.16 × 377,727,687,702.99 - Step 4: Simplify right side
686,376,328,678.14x = 357,783,472,465,636,094,902,272 - Step 5: Solve for x
x = 357,783,472,465,636,094,902,272/686,376,328,678.14 - Step 6: Final answer
x = 521,264,294,114.97
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.