Finding the Fourth Proportional to 704,578,436,982.90, 1,056,435,128,967.30 and 273,812,548,878.14
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Solution
The fourth proportional to 704,578,436,982.90, 1,056,435,128,967.30 and 273,812,548,878.14 is: 410,550,735,310.06
Step by Step Solution
- Step 1: Write the proportion equation
704,578,436,982.90 : 1,056,435,128,967.30 = 273,812,548,878.14 : x - Step 2: Convert to fraction form
704,578,436,982.90/1,056,435,128,967.30 = 273,812,548,878.14/x - Step 3: Cross multiply
704,578,436,982.90x = 1,056,435,128,967.30 × 273,812,548,878.14 - Step 4: Simplify right side
704,578,436,982.90x = 289,265,195,386,942,993,203,200 - Step 5: Solve for x
x = 289,265,195,386,942,993,203,200/704,578,436,982.90 - Step 6: Final answer
x = 410,550,735,310.06
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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.