Finding the Fourth Proportional to 1,679,877,884,909.60, 2,318,206,809,722.20 and 938,295,543,213.35
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Solution
The fourth proportional to 1,679,877,884,909.60, 2,318,206,809,722.20 and 938,295,543,213.35 is: 1,294,834,069,397.99
Step by Step Solution
- Step 1: Write the proportion equation
1,679,877,884,909.60 : 2,318,206,809,722.20 = 938,295,543,213.35 : x - Step 2: Convert to fraction form
1,679,877,884,909.60/2,318,206,809,722.20 = 938,295,543,213.35/x - Step 3: Cross multiply
1,679,877,884,909.60x = 2,318,206,809,722.20 × 938,295,543,213.35 - Step 4: Simplify right side
1,679,877,884,909.60x = 2,175,163,117,809,179,006,337,024 - Step 5: Solve for x
x = 2,175,163,117,809,179,006,337,024/1,679,877,884,909.60 - Step 6: Final answer
x = 1,294,834,069,397.99
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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.