Finding the Fourth Proportional to 2,547,606,292,272, 3,821,946,133,070.10 and 826,420,235,904.32
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Solution
The fourth proportional to 2,547,606,292,272, 3,821,946,133,070.10 and 826,420,235,904.32 is: 1,239,804,452,707.86
Step by Step Solution
- Step 1: Write the proportion equation
2,547,606,292,272 : 3,821,946,133,070.10 = 826,420,235,904.32 : x - Step 2: Convert to fraction form
2,547,606,292,272/3,821,946,133,070.10 = 826,420,235,904.32/x - Step 3: Cross multiply
2,547,606,292,272x = 3,821,946,133,070.10 × 826,420,235,904.32 - Step 4: Simplify right side
2,547,606,292,272x = 3,158,533,624,905,395,467,190,272 - Step 5: Solve for x
x = 3,158,533,624,905,395,467,190,272/2,547,606,292,272 - Step 6: Final answer
x = 1,239,804,452,707.86
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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.