Finding the Fourth Proportional to 982,320,974,671.96, 1,472,164,366,439.20 and 764,517,430,895.76
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Solution
The fourth proportional to 982,320,974,671.96, 1,472,164,366,439.20 and 764,517,430,895.76 is: 1,145,751,081,679.01
Step by Step Solution
- Step 1: Write the proportion equation
982,320,974,671.96 : 1,472,164,366,439.20 = 764,517,430,895.76 : x - Step 2: Convert to fraction form
982,320,974,671.96/1,472,164,366,439.20 = 764,517,430,895.76/x - Step 3: Cross multiply
982,320,974,671.96x = 1,472,164,366,439.20 × 764,517,430,895.76 - Step 4: Simplify right side
982,320,974,671.96x = 1,125,495,319,286,381,392,429,056 - Step 5: Solve for x
x = 1,125,495,319,286,381,392,429,056/982,320,974,671.96 - Step 6: Final answer
x = 1,145,751,081,679.01
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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.