Finding the Fourth Proportional to 1,413,118,434.90, 2,119,993,776.71 and 430,621,868.41
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Solution
The fourth proportional to 1,413,118,434.90, 2,119,993,776.71 and 430,621,868.41 is: 646,029,135.70
Step by Step Solution
- Step 1: Write the proportion equation
1,413,118,434.90 : 2,119,993,776.71 = 430,621,868.41 : x - Step 2: Convert to fraction form
1,413,118,434.90/2,119,993,776.71 = 430,621,868.41/x - Step 3: Cross multiply
1,413,118,434.90x = 2,119,993,776.71 × 430,621,868.41 - Step 4: Simplify right side
1,413,118,434.90x = 912,915,681,140,166,144 - Step 5: Solve for x
x = 912,915,681,140,166,144/1,413,118,434.90 - Step 6: Final answer
x = 646,029,135.70
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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.