Finding the Fourth Proportional to 597,463,762,429.24, 824,502,476,266.14 and 323,109,414,883.60
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Solution
The fourth proportional to 597,463,762,429.24, 824,502,476,266.14 and 323,109,414,883.60 is: 445,892,335,952.31
Step by Step Solution
- Step 1: Write the proportion equation
597,463,762,429.24 : 824,502,476,266.14 = 323,109,414,883.60 : x - Step 2: Convert to fraction form
597,463,762,429.24/824,502,476,266.14 = 323,109,414,883.60/x - Step 3: Cross multiply
597,463,762,429.24x = 824,502,476,266.14 × 323,109,414,883.60 - Step 4: Simplify right side
597,463,762,429.24x = 266,404,512,676,431,762,817,024 - Step 5: Solve for x
x = 266,404,512,676,431,762,817,024/597,463,762,429.24 - Step 6: Final answer
x = 445,892,335,952.31
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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.