Finding the Fourth Proportional to 1,742,688,230.80, 2,614,032,346.20 and 1,609,662,643.60
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Solution
The fourth proportional to 1,742,688,230.80, 2,614,032,346.20 and 1,609,662,643.60 is: 2,414,493,965.40
Step by Step Solution
- Step 1: Write the proportion equation
1,742,688,230.80 : 2,614,032,346.20 = 1,609,662,643.60 : x - Step 2: Convert to fraction form
1,742,688,230.80/2,614,032,346.20 = 1,609,662,643.60/x - Step 3: Cross multiply
1,742,688,230.80x = 2,614,032,346.20 × 1,609,662,643.60 - Step 4: Simplify right side
1,742,688,230.80x = 4,207,710,216,840,201,728 - Step 5: Solve for x
x = 4,207,710,216,840,201,728/1,742,688,230.80 - Step 6: Final answer
x = 2,414,493,965.40
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.