Finding the Fourth Proportional to 433,853,277,371.30, 650,161,881,732.36 and 319,634,758,027.02
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Solution
The fourth proportional to 433,853,277,371.30, 650,161,881,732.36 and 319,634,758,027.02 is: 478,996,809,716.53
Step by Step Solution
- Step 1: Write the proportion equation
433,853,277,371.30 : 650,161,881,732.36 = 319,634,758,027.02 : x - Step 2: Convert to fraction form
433,853,277,371.30/650,161,881,732.36 = 319,634,758,027.02/x - Step 3: Cross multiply
433,853,277,371.30x = 650,161,881,732.36 × 319,634,758,027.02 - Step 4: Simplify right side
433,853,277,371.30x = 207,814,335,745,914,904,248,320 - Step 5: Solve for x
x = 207,814,335,745,914,904,248,320/433,853,277,371.30 - Step 6: Final answer
x = 478,996,809,716.53
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.