Finding the Fourth Proportional to 734,917,609,110.08, 1,102,376,413,665.10 and 734,917,609,110.08
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Solution
The fourth proportional to 734,917,609,110.08, 1,102,376,413,665.10 and 734,917,609,110.08 is: 1,102,376,413,665.10
Step by Step Solution
- Step 1: Write the proportion equation
734,917,609,110.08 : 1,102,376,413,665.10 = 734,917,609,110.08 : x - Step 2: Convert to fraction form
734,917,609,110.08/1,102,376,413,665.10 = 734,917,609,110.08/x - Step 3: Cross multiply
734,917,609,110.08x = 1,102,376,413,665.10 × 734,917,609,110.08 - Step 4: Simplify right side
734,917,609,110.08x = 810,155,838,270,099,863,633,920 - Step 5: Solve for x
x = 810,155,838,270,099,863,633,920/734,917,609,110.08 - Step 6: Final answer
x = 1,102,376,413,665.10
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.