Finding the Fourth Proportional to 2,201,647,996,070.80, 3,038,368,402,264 and 1,226,165,715,087.10
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Solution
The fourth proportional to 2,201,647,996,070.80, 3,038,368,402,264 and 1,226,165,715,087.10 is: 1,692,161,131,710.85
Step by Step Solution
- Step 1: Write the proportion equation
2,201,647,996,070.80 : 3,038,368,402,264 = 1,226,165,715,087.10 : x - Step 2: Convert to fraction form
2,201,647,996,070.80/3,038,368,402,264 = 1,226,165,715,087.10/x - Step 3: Cross multiply
2,201,647,996,070.80x = 3,038,368,402,264 × 1,226,165,715,087.10 - Step 4: Simplify right side
2,201,647,996,070.80x = 3,725,543,164,660,087,175,249,920 - Step 5: Solve for x
x = 3,725,543,164,660,087,175,249,920/2,201,647,996,070.80 - Step 6: Final answer
x = 1,692,161,131,710.85
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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.