Finding the Fourth Proportional to 7,123,012,992,024.20, 10,684,519,488,038 and 7,123,012,992,024.20
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Solution
The fourth proportional to 7,123,012,992,024.20, 10,684,519,488,038 and 7,123,012,992,024.20 is: 10,684,519,488,038
Step by Step Solution
- Step 1: Write the proportion equation
7,123,012,992,024.20 : 10,684,519,488,038 = 7,123,012,992,024.20 : x - Step 2: Convert to fraction form
7,123,012,992,024.20/10,684,519,488,038 = 7,123,012,992,024.20/x - Step 3: Cross multiply
7,123,012,992,024.20x = 10,684,519,488,038 × 7,123,012,992,024.20 - Step 4: Simplify right side
7,123,012,992,024.20x = 76,105,971,126,830,427,134,754,816 - Step 5: Solve for x
x = 76,105,971,126,830,427,134,754,816/7,123,012,992,024.20 - Step 6: Final answer
x = 10,684,519,488,038
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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.