Finding the Fourth Proportional to 4,478,698,999.68, 6,180,607,280.16 and 2,498,549,835.84
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Solution
The fourth proportional to 4,478,698,999.68, 6,180,607,280.16 and 2,498,549,835.84 is: 3,448,000,257.74
Step by Step Solution
- Step 1: Write the proportion equation
4,478,698,999.68 : 6,180,607,280.16 = 2,498,549,835.84 : x - Step 2: Convert to fraction form
4,478,698,999.68/6,180,607,280.16 = 2,498,549,835.84/x - Step 3: Cross multiply
4,478,698,999.68x = 6,180,607,280.16 × 2,498,549,835.84 - Step 4: Simplify right side
4,478,698,999.68x = 15,442,555,305,235,277,824 - Step 5: Solve for x
x = 15,442,555,305,235,277,824/4,478,698,999.68 - Step 6: Final answer
x = 3,448,000,257.74
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.