Finding the Fourth Proportional to 293,751,144,894.35, 440,827,989,435.38 and 102,523,182,505.51
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Solution
The fourth proportional to 293,751,144,894.35, 440,827,989,435.38 and 102,523,182,505.51 is: 153,855,020,482.30
Step by Step Solution
- Step 1: Write the proportion equation
293,751,144,894.35 : 440,827,989,435.38 = 102,523,182,505.51 : x - Step 2: Convert to fraction form
293,751,144,894.35/440,827,989,435.38 = 102,523,182,505.51/x - Step 3: Cross multiply
293,751,144,894.35x = 440,827,989,435.38 × 102,523,182,505.51 - Step 4: Simplify right side
293,751,144,894.35x = 45,195,088,414,420,496,285,696 - Step 5: Solve for x
x = 45,195,088,414,420,496,285,696/293,751,144,894.35 - Step 6: Final answer
x = 153,855,020,482.30
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.