Finding the Fourth Proportional to 1,552,305,440,069, 2,326,376,815,095.20 and 1,208,122,053,129.60
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Solution
The fourth proportional to 1,552,305,440,069, 2,326,376,815,095.20 and 1,208,122,053,129.60 is: 1,810,563,218,847.56
Step by Step Solution
- Step 1: Write the proportion equation
1,552,305,440,069 : 2,326,376,815,095.20 = 1,208,122,053,129.60 : x - Step 2: Convert to fraction form
1,552,305,440,069/2,326,376,815,095.20 = 1,208,122,053,129.60/x - Step 3: Cross multiply
1,552,305,440,069x = 2,326,376,815,095.20 × 1,208,122,053,129.60 - Step 4: Simplify right side
1,552,305,440,069x = 2,810,547,134,205,913,301,254,144 - Step 5: Solve for x
x = 2,810,547,134,205,913,301,254,144/1,552,305,440,069 - Step 6: Final answer
x = 1,810,563,218,847.56
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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.