Finding the Fourth Proportional to 785,164,078,511.40, 1,178,103,970,041.70 and 402,976,542,188.62
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Solution
The fourth proportional to 785,164,078,511.40, 1,178,103,970,041.70 and 402,976,542,188.62 is: 604,648,476,896.92
Step by Step Solution
- Step 1: Write the proportion equation
785,164,078,511.40 : 1,178,103,970,041.70 = 402,976,542,188.62 : x - Step 2: Convert to fraction form
785,164,078,511.40/1,178,103,970,041.70 = 402,976,542,188.62/x - Step 3: Cross multiply
785,164,078,511.40x = 1,178,103,970,041.70 × 402,976,542,188.62 - Step 4: Simplify right side
785,164,078,511.40x = 474,748,264,186,089,773,727,744 - Step 5: Solve for x
x = 474,748,264,186,089,773,727,744/785,164,078,511.40 - Step 6: Final answer
x = 604,648,476,896.92
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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.