Finding the Fourth Proportional to 2,996,967,323.17, 4,135,725,120.58 and 1,658,912,259.25
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Solution
The fourth proportional to 2,996,967,323.17, 4,135,725,120.58 and 1,658,912,259.25 is: 2,289,249,218.83
Step by Step Solution
- Step 1: Write the proportion equation
2,996,967,323.17 : 4,135,725,120.58 = 1,658,912,259.25 : x - Step 2: Convert to fraction form
2,996,967,323.17/4,135,725,120.58 = 1,658,912,259.25/x - Step 3: Cross multiply
2,996,967,323.17x = 4,135,725,120.58 × 1,658,912,259.25 - Step 4: Simplify right side
2,996,967,323.17x = 6,860,805,103,418,346,496 - Step 5: Solve for x
x = 6,860,805,103,418,346,496/2,996,967,323.17 - Step 6: Final answer
x = 2,289,249,218.83
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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.