Finding the Fourth Proportional to 194,817,422,241.83, 292,021,571,803.17 and 65,547,919,250.75
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Solution
The fourth proportional to 194,817,422,241.83, 292,021,571,803.17 and 65,547,919,250.75 is: 98,253,052,461.96
Step by Step Solution
- Step 1: Write the proportion equation
194,817,422,241.83 : 292,021,571,803.17 = 65,547,919,250.75 : x - Step 2: Convert to fraction form
194,817,422,241.83/292,021,571,803.17 = 65,547,919,250.75/x - Step 3: Cross multiply
194,817,422,241.83x = 292,021,571,803.17 × 65,547,919,250.75 - Step 4: Simplify right side
194,817,422,241.83x = 19,141,406,408,029,820,157,952 - Step 5: Solve for x
x = 19,141,406,408,029,820,157,952/194,817,422,241.83 - Step 6: Final answer
x = 98,253,052,461.96
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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.