Finding the Fourth Proportional to 601,819,376,800.96, 830,485,674,352.18 and 327,466,106,681.68
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Solution
The fourth proportional to 601,819,376,800.96, 830,485,674,352.18 and 327,466,106,681.68 is: 451,889,588,335.68
Step by Step Solution
- Step 1: Write the proportion equation
601,819,376,800.96 : 830,485,674,352.18 = 327,466,106,681.68 : x - Step 2: Convert to fraction form
601,819,376,800.96/830,485,674,352.18 = 327,466,106,681.68/x - Step 3: Cross multiply
601,819,376,800.96x = 830,485,674,352.18 × 327,466,106,681.68 - Step 4: Simplify right side
601,819,376,800.96x = 271,955,910,435,017,959,931,904 - Step 5: Solve for x
x = 271,955,910,435,017,959,931,904/601,819,376,800.96 - Step 6: Final answer
x = 451,889,588,335.68
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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.