Finding the Fourth Proportional to 97,002,594,019.92, 133,813,438,925.64 and 61,380,571,458
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Solution
The fourth proportional to 97,002,594,019.92, 133,813,438,925.64 and 61,380,571,458 is: 84,673,460,880.12
Step by Step Solution
- Step 1: Write the proportion equation
97,002,594,019.92 : 133,813,438,925.64 = 61,380,571,458 : x - Step 2: Convert to fraction form
97,002,594,019.92/133,813,438,925.64 = 61,380,571,458/x - Step 3: Cross multiply
97,002,594,019.92x = 133,813,438,925.64 × 61,380,571,458 - Step 4: Simplify right side
97,002,594,019.92x = 8,213,545,350,015,965,200,384 - Step 5: Solve for x
x = 8,213,545,350,015,965,200,384/97,002,594,019.92 - Step 6: Final answer
x = 84,673,460,880.12
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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.