Finding the Fourth Proportional to 827,506,863,205.30, 1,241,260,294,808 and 827,506,863,205.30
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Solution
The fourth proportional to 827,506,863,205.30, 1,241,260,294,808 and 827,506,863,205.30 is: 1,241,260,294,808
Step by Step Solution
- Step 1: Write the proportion equation
827,506,863,205.30 : 1,241,260,294,808 = 827,506,863,205.30 : x - Step 2: Convert to fraction form
827,506,863,205.30/1,241,260,294,808 = 827,506,863,205.30/x - Step 3: Cross multiply
827,506,863,205.30x = 1,241,260,294,808 × 827,506,863,205.30 - Step 4: Simplify right side
827,506,863,205.30x = 1,027,151,412,977,854,006,165,504 - Step 5: Solve for x
x = 1,027,151,412,977,854,006,165,504/827,506,863,205.30 - Step 6: Final answer
x = 1,241,260,294,808
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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.