Finding the Fourth Proportional to 1,742,809,110.94, 2,614,212,069.14 and 546,293,420.19
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Solution
The fourth proportional to 1,742,809,110.94, 2,614,212,069.14 and 546,293,420.19 is: 819,439,629.61
Step by Step Solution
- Step 1: Write the proportion equation
1,742,809,110.94 : 2,614,212,069.14 = 546,293,420.19 : x - Step 2: Convert to fraction form
1,742,809,110.94/2,614,212,069.14 = 546,293,420.19/x - Step 3: Cross multiply
1,742,809,110.94x = 2,614,212,069.14 × 546,293,420.19 - Step 4: Simplify right side
1,742,809,110.94x = 1,428,126,852,349,736,192 - Step 5: Solve for x
x = 1,428,126,852,349,736,192/1,742,809,110.94 - Step 6: Final answer
x = 819,439,629.61
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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.