Finding the Fourth Proportional to 731,671,853,072.64, 1,097,386,049,489.30 and 221,609,350,579.20
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Solution
The fourth proportional to 731,671,853,072.64, 1,097,386,049,489.30 and 221,609,350,579.20 is: 332,377,156,153.71
Step by Step Solution
- Step 1: Write the proportion equation
731,671,853,072.64 : 1,097,386,049,489.30 = 221,609,350,579.20 : x - Step 2: Convert to fraction form
731,671,853,072.64/1,097,386,049,489.30 = 221,609,350,579.20/x - Step 3: Cross multiply
731,671,853,072.64x = 1,097,386,049,489.30 × 221,609,350,579.20 - Step 4: Simplify right side
731,671,853,072.64x = 243,191,009,761,997,621,297,152 - Step 5: Solve for x
x = 243,191,009,761,997,621,297,152/731,671,853,072.64 - Step 6: Final answer
x = 332,377,156,153.71
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.