Finding the Fourth Proportional to 613,415,140,103.84, 920,221,582,073.60 and 188,943,207,694.21
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Solution
The fourth proportional to 613,415,140,103.84, 920,221,582,073.60 and 188,943,207,694.21 is: 283,445,265,920.55
Step by Step Solution
- Step 1: Write the proportion equation
613,415,140,103.84 : 920,221,582,073.60 = 188,943,207,694.21 : x - Step 2: Convert to fraction form
613,415,140,103.84/920,221,582,073.60 = 188,943,207,694.21/x - Step 3: Cross multiply
613,415,140,103.84x = 920,221,582,073.60 × 188,943,207,694.21 - Step 4: Simplify right side
613,415,140,103.84x = 173,869,617,506,426,690,732,032 - Step 5: Solve for x
x = 173,869,617,506,426,690,732,032/613,415,140,103.84 - Step 6: Final answer
x = 283,445,265,920.55
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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.