Finding the Fourth Proportional to 4,271,533,761,513, 5,895,221,938,214.60 and 2,537,350,169,402.10
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Solution
The fourth proportional to 4,271,533,761,513, 5,895,221,938,214.60 and 2,537,350,169,402.10 is: 3,501,843,417,080.59
Step by Step Solution
- Step 1: Write the proportion equation
4,271,533,761,513 : 5,895,221,938,214.60 = 2,537,350,169,402.10 : x - Step 2: Convert to fraction form
4,271,533,761,513/5,895,221,938,214.60 = 2,537,350,169,402.10/x - Step 3: Cross multiply
4,271,533,761,513x = 5,895,221,938,214.60 × 2,537,350,169,402.10 - Step 4: Simplify right side
4,271,533,761,513x = 14,958,242,383,591,792,097,361,920 - Step 5: Solve for x
x = 14,958,242,383,591,792,097,361,920/4,271,533,761,513 - Step 6: Final answer
x = 3,501,843,417,080.59
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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.