Finding the Fourth Proportional to 1,353,989,946,274.10, 2,031,878,544,176.40 and 717,729,156,126.84
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Solution
The fourth proportional to 1,353,989,946,274.10, 2,031,878,544,176.40 and 717,729,156,126.84 is: 1,077,067,430,874.95
Step by Step Solution
- Step 1: Write the proportion equation
1,353,989,946,274.10 : 2,031,878,544,176.40 = 717,729,156,126.84 : x - Step 2: Convert to fraction form
1,353,989,946,274.10/2,031,878,544,176.40 = 717,729,156,126.84/x - Step 3: Cross multiply
1,353,989,946,274.10x = 2,031,878,544,176.40 × 717,729,156,126.84 - Step 4: Simplify right side
1,353,989,946,274.10x = 1,458,338,472,863,959,594,565,632 - Step 5: Solve for x
x = 1,458,338,472,863,959,594,565,632/1,353,989,946,274.10 - Step 6: Final answer
x = 1,077,067,430,874.95
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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.