Finding the Fourth Proportional to 1,696,988,113.78, 2,340,516,912.30 and 1,102,464,152.64
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Solution
The fourth proportional to 1,696,988,113.78, 2,340,516,912.30 and 1,102,464,152.64 is: 1,520,538,637.55
Step by Step Solution
- Step 1: Write the proportion equation
1,696,988,113.78 : 2,340,516,912.30 = 1,102,464,152.64 : x - Step 2: Convert to fraction form
1,696,988,113.78/2,340,516,912.30 = 1,102,464,152.64/x - Step 3: Cross multiply
1,696,988,113.78x = 2,340,516,912.30 × 1,102,464,152.64 - Step 4: Simplify right side
1,696,988,113.78x = 2,580,335,994,458,408,960 - Step 5: Solve for x
x = 2,580,335,994,458,408,960/1,696,988,113.78 - Step 6: Final answer
x = 1,520,538,637.55
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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.