Finding the Fourth Proportional to 1,523,355,297,821.60, 2,102,166,863,608.40 and 828,898,582,832.36
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Solution
The fourth proportional to 1,523,355,297,821.60, 2,102,166,863,608.40 and 828,898,582,832.36 is: 1,143,845,520,880.06
Step by Step Solution
- Step 1: Write the proportion equation
1,523,355,297,821.60 : 2,102,166,863,608.40 = 828,898,582,832.36 : x - Step 2: Convert to fraction form
1,523,355,297,821.60/2,102,166,863,608.40 = 828,898,582,832.36/x - Step 3: Cross multiply
1,523,355,297,821.60x = 2,102,166,863,608.40 × 828,898,582,832.36 - Step 4: Simplify right side
1,523,355,297,821.60x = 1,742,483,134,122,149,569,101,824 - Step 5: Solve for x
x = 1,742,483,134,122,149,569,101,824/1,523,355,297,821.60 - Step 6: Final answer
x = 1,143,845,520,880.06
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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.