Finding the Fourth Proportional to 1,520,482,476,465.10, 2,098,445,699,455.80 and 903,187,633,374.96
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Solution
The fourth proportional to 1,520,482,476,465.10, 2,098,445,699,455.80 and 903,187,633,374.96 is: 1,246,505,786,415.65
Step by Step Solution
- Step 1: Write the proportion equation
1,520,482,476,465.10 : 2,098,445,699,455.80 = 903,187,633,374.96 : x - Step 2: Convert to fraction form
1,520,482,476,465.10/2,098,445,699,455.80 = 903,187,633,374.96/x - Step 3: Cross multiply
1,520,482,476,465.10x = 2,098,445,699,455.80 × 903,187,633,374.96 - Step 4: Simplify right side
1,520,482,476,465.10x = 1,895,290,205,057,346,594,406,400 - Step 5: Solve for x
x = 1,895,290,205,057,346,594,406,400/1,520,482,476,465.10 - Step 6: Final answer
x = 1,246,505,786,415.65
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.