Finding the Fourth Proportional to 199,921,024,605.12, 299,670,701,272.20 and 65,580,435,070.80
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Solution
The fourth proportional to 199,921,024,605.12, 299,670,701,272.20 and 65,580,435,070.80 is: 98,301,491,832.69
Step by Step Solution
- Step 1: Write the proportion equation
199,921,024,605.12 : 299,670,701,272.20 = 65,580,435,070.80 : x - Step 2: Convert to fraction form
199,921,024,605.12/299,670,701,272.20 = 65,580,435,070.80/x - Step 3: Cross multiply
199,921,024,605.12x = 299,670,701,272.20 × 65,580,435,070.80 - Step 4: Simplify right side
199,921,024,605.12x = 19,652,534,967,402,617,634,816 - Step 5: Solve for x
x = 19,652,534,967,402,617,634,816/199,921,024,605.12 - Step 6: Final answer
x = 98,301,491,832.69
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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.