Finding the Fourth Proportional to 510,817,122,366.06, 704,595,475,697.34 and 327,624,057,783.18
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Solution
The fourth proportional to 510,817,122,366.06, 704,595,475,697.34 and 327,624,057,783.18 is: 451,908,165,831.23
Step by Step Solution
- Step 1: Write the proportion equation
510,817,122,366.06 : 704,595,475,697.34 = 327,624,057,783.18 : x - Step 2: Convert to fraction form
510,817,122,366.06/704,595,475,697.34 = 327,624,057,783.18/x - Step 3: Cross multiply
510,817,122,366.06x = 704,595,475,697.34 × 327,624,057,783.18 - Step 4: Simplify right side
510,817,122,366.06x = 230,842,428,843,632,499,884,032 - Step 5: Solve for x
x = 230,842,428,843,632,499,884,032/510,817,122,366.06 - Step 6: Final answer
x = 451,908,165,831.23
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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.