Finding the Fourth Proportional to 3,023,088,893,374, 4,537,860,315,316.70 and 1,302,886,158,651.20
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Solution
The fourth proportional to 3,023,088,893,374, 4,537,860,315,316.70 and 1,302,886,158,651.20 is: 1,955,719,994,763.40
Step by Step Solution
- Step 1: Write the proportion equation
3,023,088,893,374 : 4,537,860,315,316.70 = 1,302,886,158,651.20 : x - Step 2: Convert to fraction form
3,023,088,893,374/4,537,860,315,316.70 = 1,302,886,158,651.20/x - Step 3: Cross multiply
3,023,088,893,374x = 4,537,860,315,316.70 × 1,302,886,158,651.20 - Step 4: Simplify right side
3,023,088,893,374x = 5,912,315,394,718,698,074,800,128 - Step 5: Solve for x
x = 5,912,315,394,718,698,074,800,128/3,023,088,893,374 - Step 6: Final answer
x = 1,955,719,994,763.40
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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.