Finding the Fourth Proportional to 212,002,465,555.02, 292,564,351,423.89 and 115,658,260,068.18
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Solution
The fourth proportional to 212,002,465,555.02, 292,564,351,423.89 and 115,658,260,068.18 is: 159,608,916,599.52
Step by Step Solution
- Step 1: Write the proportion equation
212,002,465,555.02 : 292,564,351,423.89 = 115,658,260,068.18 : x - Step 2: Convert to fraction form
212,002,465,555.02/292,564,351,423.89 = 115,658,260,068.18/x - Step 3: Cross multiply
212,002,465,555.02x = 292,564,351,423.89 × 115,658,260,068.18 - Step 4: Simplify right side
212,002,465,555.02x = 33,837,483,843,662,676,754,432 - Step 5: Solve for x
x = 33,837,483,843,662,676,754,432/212,002,465,555.02 - Step 6: Final answer
x = 159,608,916,599.52
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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.