Finding the Fourth Proportional to 687,445,863,459.68, 948,632,546,713.92 and 378,779,949,225.02
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Solution
The fourth proportional to 687,445,863,459.68, 948,632,546,713.92 and 378,779,949,225.02 is: 522,692,777,681.65
Step by Step Solution
- Step 1: Write the proportion equation
687,445,863,459.68 : 948,632,546,713.92 = 378,779,949,225.02 : x - Step 2: Convert to fraction form
687,445,863,459.68/948,632,546,713.92 = 378,779,949,225.02/x - Step 3: Cross multiply
687,445,863,459.68x = 948,632,546,713.92 × 378,779,949,225.02 - Step 4: Simplify right side
687,445,863,459.68x = 359,322,987,877,500,079,570,944 - Step 5: Solve for x
x = 359,322,987,877,500,079,570,944/687,445,863,459.68 - Step 6: Final answer
x = 522,692,777,681.65
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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.