Finding the Fourth Proportional to 510,817,122,367.05, 704,595,475,698.73 and 327,624,057,784.17
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Solution
The fourth proportional to 510,817,122,367.05, 704,595,475,698.73 and 327,624,057,784.17 is: 451,908,165,832.61
Step by Step Solution
- Step 1: Write the proportion equation
510,817,122,367.05 : 704,595,475,698.73 = 327,624,057,784.17 : x - Step 2: Convert to fraction form
510,817,122,367.05/704,595,475,698.73 = 327,624,057,784.17/x - Step 3: Cross multiply
510,817,122,367.05x = 704,595,475,698.73 × 327,624,057,784.17 - Step 4: Simplify right side
510,817,122,367.05x = 230,842,428,844,785,463,721,984 - Step 5: Solve for x
x = 230,842,428,844,785,463,721,984/510,817,122,367.05 - Step 6: Final answer
x = 451,908,165,832.61
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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.