Finding the Fourth Proportional to 905,390,530,886.18, 1,249,442,817,026.30 and 493,867,977,653.74
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Solution
The fourth proportional to 905,390,530,886.18, 1,249,442,817,026.30 and 493,867,977,653.74 is: 681,539,928,007.42
Step by Step Solution
- Step 1: Write the proportion equation
905,390,530,886.18 : 1,249,442,817,026.30 = 493,867,977,653.74 : x - Step 2: Convert to fraction form
905,390,530,886.18/1,249,442,817,026.30 = 493,867,977,653.74/x - Step 3: Cross multiply
905,390,530,886.18x = 1,249,442,817,026.30 × 493,867,977,653.74 - Step 4: Simplify right side
905,390,530,886.18x = 617,059,797,238,770,760,155,136 - Step 5: Solve for x
x = 617,059,797,238,770,760,155,136/905,390,530,886.18 - Step 6: Final answer
x = 681,539,928,007.42
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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.