Finding the Fourth Proportional to 1,680,674,311,657.80, 2,521,165,317,165.60 and 471,916,577,161.77
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Solution
The fourth proportional to 1,680,674,311,657.80, 2,521,165,317,165.60 and 471,916,577,161.77 is: 707,918,065,197.40
Step by Step Solution
- Step 1: Write the proportion equation
1,680,674,311,657.80 : 2,521,165,317,165.60 = 471,916,577,161.77 : x - Step 2: Convert to fraction form
1,680,674,311,657.80/2,521,165,317,165.60 = 471,916,577,161.77/x - Step 3: Cross multiply
1,680,674,311,657.80x = 2,521,165,317,165.60 × 471,916,577,161.77 - Step 4: Simplify right side
1,680,674,311,657.80x = 1,189,779,706,935,758,251,098,112 - Step 5: Solve for x
x = 1,189,779,706,935,758,251,098,112/1,680,674,311,657.80 - Step 6: Final answer
x = 707,918,065,197.40
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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.