Finding the Fourth Proportional to 854,021,158,812.64, 1,178,567,199,453.90 and 468,642,133,098.28
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Solution
The fourth proportional to 854,021,158,812.64, 1,178,567,199,453.90 and 468,642,133,098.28 is: 646,736,021,294.43
Step by Step Solution
- Step 1: Write the proportion equation
854,021,158,812.64 : 1,178,567,199,453.90 = 468,642,133,098.28 : x - Step 2: Convert to fraction form
854,021,158,812.64/1,178,567,199,453.90 = 468,642,133,098.28/x - Step 3: Cross multiply
854,021,158,812.64x = 1,178,567,199,453.90 × 468,642,133,098.28 - Step 4: Simplify right side
854,021,158,812.64x = 552,326,246,351,741,697,130,496 - Step 5: Solve for x
x = 552,326,246,351,741,697,130,496/854,021,158,812.64 - Step 6: Final answer
x = 646,736,021,294.43
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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.