Finding the Fourth Proportional to 877,088,433,733.19, 1,314,704,102,109.80 and 295,023,518,874.84
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Solution
The fourth proportional to 877,088,433,733.19, 1,314,704,102,109.80 and 295,023,518,874.84 is: 442,222,945,333.71
Step by Step Solution
- Step 1: Write the proportion equation
877,088,433,733.19 : 1,314,704,102,109.80 = 295,023,518,874.84 : x - Step 2: Convert to fraction form
877,088,433,733.19/1,314,704,102,109.80 = 295,023,518,874.84/x - Step 3: Cross multiply
877,088,433,733.19x = 1,314,704,102,109.80 × 295,023,518,874.84 - Step 4: Simplify right side
877,088,433,733.19x = 387,868,630,483,620,172,136,448 - Step 5: Solve for x
x = 387,868,630,483,620,172,136,448/877,088,433,733.19 - Step 6: Final answer
x = 442,222,945,333.71
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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.