Finding the Fourth Proportional to 390,834,033,102.96, 585,915,288,594.15 and 135,830,286,252.08
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Solution
The fourth proportional to 390,834,033,102.96, 585,915,288,594.15 and 135,830,286,252.08 is: 203,628,739,128.38
Step by Step Solution
- Step 1: Write the proportion equation
390,834,033,102.96 : 585,915,288,594.15 = 135,830,286,252.08 : x - Step 2: Convert to fraction form
390,834,033,102.96/585,915,288,594.15 = 135,830,286,252.08/x - Step 3: Cross multiply
390,834,033,102.96x = 585,915,288,594.15 × 135,830,286,252.08 - Step 4: Simplify right side
390,834,033,102.96x = 79,585,041,369,213,463,166,976 - Step 5: Solve for x
x = 79,585,041,369,213,463,166,976/390,834,033,102.96 - Step 6: Final answer
x = 203,628,739,128.38
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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.