Finding the Fourth Proportional to 679,774,687,053.20, 938,512,506,027.80 and 432,716,416,102.80
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Solution
The fourth proportional to 679,774,687,053.20, 938,512,506,027.80 and 432,716,416,102.80 is: 597,418,197,250.74
Step by Step Solution
- Step 1: Write the proportion equation
679,774,687,053.20 : 938,512,506,027.80 = 432,716,416,102.80 : x - Step 2: Convert to fraction form
679,774,687,053.20/938,512,506,027.80 = 432,716,416,102.80/x - Step 3: Cross multiply
679,774,687,053.20x = 938,512,506,027.80 × 432,716,416,102.80 - Step 4: Simplify right side
679,774,687,053.20x = 406,109,768,076,007,116,374,016 - Step 5: Solve for x
x = 406,109,768,076,007,116,374,016/679,774,687,053.20 - Step 6: Final answer
x = 597,418,197,250.74
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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.