Finding the Fourth Proportional to 5,477,466,873,095, 7,559,601,639,957.40 and 3,312,189,256,893.60
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Solution
The fourth proportional to 5,477,466,873,095, 7,559,601,639,957.40 and 3,312,189,256,893.60 is: 4,571,242,860,682.82
Step by Step Solution
- Step 1: Write the proportion equation
5,477,466,873,095 : 7,559,601,639,957.40 = 3,312,189,256,893.60 : x - Step 2: Convert to fraction form
5,477,466,873,095/7,559,601,639,957.40 = 3,312,189,256,893.60/x - Step 3: Cross multiply
5,477,466,873,095x = 7,559,601,639,957.40 × 3,312,189,256,893.60 - Step 4: Simplify right side
5,477,466,873,095x = 25,038,831,338,262,144,663,683,072 - Step 5: Solve for x
x = 25,038,831,338,262,144,663,683,072/5,477,466,873,095 - Step 6: Final answer
x = 4,571,242,860,682.82
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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.