Finding the Fourth Proportional to 180,202,275,202.38, 248,679,386,037.70 and 97,803,036,014.10
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Solution
The fourth proportional to 180,202,275,202.38, 248,679,386,037.70 and 97,803,036,014.10 is: 134,968,323,353.82
Step by Step Solution
- Step 1: Write the proportion equation
180,202,275,202.38 : 248,679,386,037.70 = 97,803,036,014.10 : x - Step 2: Convert to fraction form
180,202,275,202.38/248,679,386,037.70 = 97,803,036,014.10/x - Step 3: Cross multiply
180,202,275,202.38x = 248,679,386,037.70 × 97,803,036,014.10 - Step 4: Simplify right side
180,202,275,202.38x = 24,321,598,948,609,452,146,688 - Step 5: Solve for x
x = 24,321,598,948,609,452,146,688/180,202,275,202.38 - Step 6: Final answer
x = 134,968,323,353.82
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1.5x scale
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.