Finding the Fourth Proportional to 316,209,274,545.60, 436,368,798,872.94 and 180,878,454,981.79
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Solution
The fourth proportional to 316,209,274,545.60, 436,368,798,872.94 and 180,878,454,981.79 is: 249,612,267,874.88
Step by Step Solution
- Step 1: Write the proportion equation
316,209,274,545.60 : 436,368,798,872.94 = 180,878,454,981.79 : x - Step 2: Convert to fraction form
316,209,274,545.60/436,368,798,872.94 = 180,878,454,981.79/x - Step 3: Cross multiply
316,209,274,545.60x = 436,368,798,872.94 × 180,878,454,981.79 - Step 4: Simplify right side
316,209,274,545.60x = 78,929,714,142,396,851,159,040 - Step 5: Solve for x
x = 78,929,714,142,396,851,159,040/316,209,274,545.60 - Step 6: Final answer
x = 249,612,267,874.88
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1.5x scale
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.