Finding the Fourth Proportional to 657,183,239,304.28, 906,912,182,416.98 and 368,153,533,216.54
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Solution
The fourth proportional to 657,183,239,304.28, 906,912,182,416.98 and 368,153,533,216.54 is: 508,051,490,520.96
Step by Step Solution
- Step 1: Write the proportion equation
657,183,239,304.28 : 906,912,182,416.98 = 368,153,533,216.54 : x - Step 2: Convert to fraction form
657,183,239,304.28/906,912,182,416.98 = 368,153,533,216.54/x - Step 3: Cross multiply
657,183,239,304.28x = 906,912,182,416.98 × 368,153,533,216.54 - Step 4: Simplify right side
657,183,239,304.28x = 333,882,924,273,934,404,681,728 - Step 5: Solve for x
x = 333,882,924,273,934,404,681,728/657,183,239,304.28 - Step 6: Final answer
x = 508,051,490,520.96
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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.