Finding the Fourth Proportional to 4,740,099,201,213.40, 6,541,331,815,492.60 and 2,574,807,706,135
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Solution
The fourth proportional to 4,740,099,201,213.40, 6,541,331,815,492.60 and 2,574,807,706,135 is: 3,553,231,873,840.30
Step by Step Solution
- Step 1: Write the proportion equation
4,740,099,201,213.40 : 6,541,331,815,492.60 = 2,574,807,706,135 : x - Step 2: Convert to fraction form
4,740,099,201,213.40/6,541,331,815,492.60 = 2,574,807,706,135/x - Step 3: Cross multiply
4,740,099,201,213.40x = 6,541,331,815,492.60 × 2,574,807,706,135 - Step 4: Simplify right side
4,740,099,201,213.40x = 16,842,671,566,916,396,364,333,056 - Step 5: Solve for x
x = 16,842,671,566,916,396,364,333,056/4,740,099,201,213.40 - Step 6: Final answer
x = 3,553,231,873,840.30
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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.