Finding the Fourth Proportional to 402,829,444,181.98, 556,155,559,130.75 and 256,424,542,878.02
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Solution
The fourth proportional to 402,829,444,181.98, 556,155,559,130.75 and 256,424,542,878.02 is: 354,025,598,373.95
Step by Step Solution
- Step 1: Write the proportion equation
402,829,444,181.98 : 556,155,559,130.75 = 256,424,542,878.02 : x - Step 2: Convert to fraction form
402,829,444,181.98/556,155,559,130.75 = 256,424,542,878.02/x - Step 3: Cross multiply
402,829,444,181.98x = 556,155,559,130.75 × 256,424,542,878.02 - Step 4: Simplify right side
402,829,444,181.98x = 142,611,935,019,172,190,224,384 - Step 5: Solve for x
x = 142,611,935,019,172,190,224,384/402,829,444,181.98 - Step 6: Final answer
x = 354,025,598,373.95
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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.