Finding the Fourth Proportional to 712,407,134,103.99, 983,122,478,556.65 and 387,246,425,916.93
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Solution
The fourth proportional to 712,407,134,103.99, 983,122,478,556.65 and 387,246,425,916.93 is: 534,400,412,116.15
Step by Step Solution
- Step 1: Write the proportion equation
712,407,134,103.99 : 983,122,478,556.65 = 387,246,425,916.93 : x - Step 2: Convert to fraction form
712,407,134,103.99/983,122,478,556.65 = 387,246,425,916.93/x - Step 3: Cross multiply
712,407,134,103.99x = 983,122,478,556.65 × 387,246,425,916.93 - Step 4: Simplify right side
712,407,134,103.99x = 380,710,666,059,656,336,506,880 - Step 5: Solve for x
x = 380,710,666,059,656,336,506,880/712,407,134,103.99 - Step 6: Final answer
x = 534,400,412,116.15
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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.