Finding the Fourth Proportional to 3,742,863,917,599.40, 5,165,148,288,920 and 2,096,749,419,646.10
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Solution
The fourth proportional to 3,742,863,917,599.40, 5,165,148,288,920 and 2,096,749,419,646.10 is: 2,893,512,004,605.61
Step by Step Solution
- Step 1: Write the proportion equation
3,742,863,917,599.40 : 5,165,148,288,920 = 2,096,749,419,646.10 : x - Step 2: Convert to fraction form
3,742,863,917,599.40/5,165,148,288,920 = 2,096,749,419,646.10/x - Step 3: Cross multiply
3,742,863,917,599.40x = 5,165,148,288,920 × 2,096,749,419,646.10 - Step 4: Simplify right side
3,742,863,917,599.40x = 10,830,021,677,179,056,903,159,808 - Step 5: Solve for x
x = 10,830,021,677,179,056,903,159,808/3,742,863,917,599.40 - Step 6: Final answer
x = 2,893,512,004,605.61
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.