Finding the Fourth Proportional to 3,674,387,323,263, 5,070,636,826,697.40 and 2,028,246,838,853.10
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Solution
The fourth proportional to 3,674,387,323,263, 5,070,636,826,697.40 and 2,028,246,838,853.10 is: 2,798,970,878,657.42
Step by Step Solution
- Step 1: Write the proportion equation
3,674,387,323,263 : 5,070,636,826,697.40 = 2,028,246,838,853.10 : x - Step 2: Convert to fraction form
3,674,387,323,263/5,070,636,826,697.40 = 2,028,246,838,853.10/x - Step 3: Cross multiply
3,674,387,323,263x = 5,070,636,826,697.40 × 2,028,246,838,853.10 - Step 4: Simplify right side
3,674,387,323,263x = 10,284,503,114,721,116,261,711,872 - Step 5: Solve for x
x = 10,284,503,114,721,116,261,711,872/3,674,387,323,263 - Step 6: Final answer
x = 2,798,970,878,657.42
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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.