Finding the Fourth Proportional to 48,971,338,420.80, 73,457,007,631.20 and 24,176,427,124.80
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Solution
The fourth proportional to 48,971,338,420.80, 73,457,007,631.20 and 24,176,427,124.80 is: 36,264,640,687.20
Step by Step Solution
- Step 1: Write the proportion equation
48,971,338,420.80 : 73,457,007,631.20 = 24,176,427,124.80 : x - Step 2: Convert to fraction form
48,971,338,420.80/73,457,007,631.20 = 24,176,427,124.80/x - Step 3: Cross multiply
48,971,338,420.80x = 73,457,007,631.20 × 24,176,427,124.80 - Step 4: Simplify right side
48,971,338,420.80x = 1,775,927,991,801,584,025,600 - Step 5: Solve for x
x = 1,775,927,991,801,584,025,600/48,971,338,420.80 - Step 6: Final answer
x = 36,264,640,687.20
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1.5x scale
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.