Finding the Fourth Proportional to 6,657,596,899.26, 9,184,000,497.14 and 4,116,466,566.74
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Solution
The fourth proportional to 6,657,596,899.26, 9,184,000,497.14 and 4,116,466,566.74 is: 5,678,570,145.88
Step by Step Solution
- Step 1: Write the proportion equation
6,657,596,899.26 : 9,184,000,497.14 = 4,116,466,566.74 : x - Step 2: Convert to fraction form
6,657,596,899.26/9,184,000,497.14 = 4,116,466,566.74/x - Step 3: Cross multiply
6,657,596,899.26x = 9,184,000,497.14 × 4,116,466,566.74 - Step 4: Simplify right side
6,657,596,899.26x = 37,805,630,995,400,343,552 - Step 5: Solve for x
x = 37,805,630,995,400,343,552/6,657,596,899.26 - Step 6: Final answer
x = 5,678,570,145.88
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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.