Finding the Fourth Proportional to 2,996,967,322.17, 4,135,725,119.21 and 1,658,912,258.25
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Solution
The fourth proportional to 2,996,967,322.17, 4,135,725,119.21 and 1,658,912,258.25 is: 2,289,249,217.45
Step by Step Solution
- Step 1: Write the proportion equation
2,996,967,322.17 : 4,135,725,119.21 = 1,658,912,258.25 : x - Step 2: Convert to fraction form
2,996,967,322.17/4,135,725,119.21 = 1,658,912,258.25/x - Step 3: Cross multiply
2,996,967,322.17x = 4,135,725,119.21 × 1,658,912,258.25 - Step 4: Simplify right side
2,996,967,322.17x = 6,860,805,097,001,616,384 - Step 5: Solve for x
x = 6,860,805,097,001,616,384/2,996,967,322.17 - Step 6: Final answer
x = 2,289,249,217.45
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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.