Finding the Fourth Proportional to 1,680,674,311,656.80, 2,521,165,317,164.10 and 471,916,577,160.77
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Solution
The fourth proportional to 1,680,674,311,656.80, 2,521,165,317,164.10 and 471,916,577,160.77 is: 707,918,065,195.90
Step by Step Solution
- Step 1: Write the proportion equation
1,680,674,311,656.80 : 2,521,165,317,164.10 = 471,916,577,160.77 : x - Step 2: Convert to fraction form
1,680,674,311,656.80/2,521,165,317,164.10 = 471,916,577,160.77/x - Step 3: Cross multiply
1,680,674,311,656.80x = 2,521,165,317,164.10 × 471,916,577,160.77 - Step 4: Simplify right side
1,680,674,311,656.80x = 1,189,779,706,932,529,240,997,888 - Step 5: Solve for x
x = 1,189,779,706,932,529,240,997,888/1,680,674,311,656.80 - Step 6: Final answer
x = 707,918,065,195.90
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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.