Finding the Fourth Proportional to 48,548,217,241,995, 72,826,606,893,002 and 13,697,226,080,436
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Solution
The fourth proportional to 48,548,217,241,995, 72,826,606,893,002 and 13,697,226,080,436 is: 20,547,046,955,652.45
Step by Step Solution
- Step 1: Write the proportion equation
48,548,217,241,995 : 72,826,606,893,002 = 13,697,226,080,436 : x - Step 2: Convert to fraction form
48,548,217,241,995/72,826,606,893,002 = 13,697,226,080,436/x - Step 3: Cross multiply
48,548,217,241,995x = 72,826,606,893,002 × 13,697,226,080,436 - Step 4: Simplify right side
48,548,217,241,995x = 997,522,499,284,487,109,229,936,640 - Step 5: Solve for x
x = 997,522,499,284,487,109,229,936,640/48,548,217,241,995 - Step 6: Final answer
x = 20,547,046,955,652.45
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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.