Finding the Fourth Proportional to 964,888,931,331.30, 1,446,995,130,467.70 and 284,785,822,607.70
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Solution
The fourth proportional to 964,888,931,331.30, 1,446,995,130,467.70 and 284,785,822,607.70 is: 427,078,894,947.02
Step by Step Solution
- Step 1: Write the proportion equation
964,888,931,331.30 : 1,446,995,130,467.70 = 284,785,822,607.70 : x - Step 2: Convert to fraction form
964,888,931,331.30/1,446,995,130,467.70 = 284,785,822,607.70/x - Step 3: Cross multiply
964,888,931,331.30x = 1,446,995,130,467.70 × 284,785,822,607.70 - Step 4: Simplify right side
964,888,931,331.30x = 412,083,698,539,580,161,523,712 - Step 5: Solve for x
x = 412,083,698,539,580,161,523,712/964,888,931,331.30 - Step 6: Final answer
x = 427,078,894,947.02
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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.