Finding the Fourth Proportional to 905,390,531,109.75, 1,249,442,817,334.20 and 493,867,977,877.17
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Solution
The fourth proportional to 905,390,531,109.75, 1,249,442,817,334.20 and 493,867,977,877.17 is: 681,539,928,315.42
Step by Step Solution
- Step 1: Write the proportion equation
905,390,531,109.75 : 1,249,442,817,334.20 = 493,867,977,877.17 : x - Step 2: Convert to fraction form
905,390,531,109.75/1,249,442,817,334.20 = 493,867,977,877.17/x - Step 3: Cross multiply
905,390,531,109.75x = 1,249,442,817,334.20 × 493,867,977,877.17 - Step 4: Simplify right side
905,390,531,109.75x = 617,059,797,669,995,543,003,136 - Step 5: Solve for x
x = 617,059,797,669,995,543,003,136/905,390,531,109.75 - Step 6: Final answer
x = 681,539,928,315.42
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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.