Finding the Fourth Proportional to 624,542,681,579.80, 861,551,706,698.40 and 407,895,691,304.14
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Solution
The fourth proportional to 624,542,681,579.80, 861,551,706,698.40 and 407,895,691,304.14 is: 562,688,891,188.46
Step by Step Solution
- Step 1: Write the proportion equation
624,542,681,579.80 : 861,551,706,698.40 = 407,895,691,304.14 : x - Step 2: Convert to fraction form
624,542,681,579.80/861,551,706,698.40 = 407,895,691,304.14/x - Step 3: Cross multiply
624,542,681,579.80x = 861,551,706,698.40 × 407,895,691,304.14 - Step 4: Simplify right side
624,542,681,579.80x = 351,423,228,998,005,571,977,216 - Step 5: Solve for x
x = 351,423,228,998,005,571,977,216/624,542,681,579.80 - Step 6: Final answer
x = 562,688,891,188.46
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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.