Finding the Fourth Proportional to 4,130,706,823.16, 6,197,889,966.56 and 2,165,092,765.34
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Solution
The fourth proportional to 4,130,706,823.16, 6,197,889,966.56 and 2,165,092,765.34 is: 3,248,598,194.31
Step by Step Solution
- Step 1: Write the proportion equation
4,130,706,823.16 : 6,197,889,966.56 = 2,165,092,765.34 : x - Step 2: Convert to fraction form
4,130,706,823.16/6,197,889,966.56 = 2,165,092,765.34/x - Step 3: Cross multiply
4,130,706,823.16x = 6,197,889,966.56 × 2,165,092,765.34 - Step 4: Simplify right side
4,130,706,823.16x = 13,419,006,726,961,606,656 - Step 5: Solve for x
x = 13,419,006,726,961,606,656/4,130,706,823.16 - Step 6: Final answer
x = 3,248,598,194.31
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.