Finding the Fourth Proportional to 398,725,732,818.73, 598,090,132,765.17 and 96,537,832,110.99
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Solution
The fourth proportional to 398,725,732,818.73, 598,090,132,765.17 and 96,537,832,110.99 is: 144,807,119,460.17
Step by Step Solution
- Step 1: Write the proportion equation
398,725,732,818.73 : 598,090,132,765.17 = 96,537,832,110.99 : x - Step 2: Convert to fraction form
398,725,732,818.73/598,090,132,765.17 = 96,537,832,110.99/x - Step 3: Cross multiply
398,725,732,818.73x = 598,090,132,765.17 × 96,537,832,110.99 - Step 4: Simplify right side
398,725,732,818.73x = 57,738,324,824,123,708,014,592 - Step 5: Solve for x
x = 57,738,324,824,123,708,014,592/398,725,732,818.73 - Step 6: Final answer
x = 144,807,119,460.17
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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.