Finding the Fourth Proportional to 153,772,344,101.70, 230,658,516,152.55 and 153,772,344,101.70
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Solution
The fourth proportional to 153,772,344,101.70, 230,658,516,152.55 and 153,772,344,101.70 is: 230,658,516,152.55
Step by Step Solution
- Step 1: Write the proportion equation
153,772,344,101.70 : 230,658,516,152.55 = 153,772,344,101.70 : x - Step 2: Convert to fraction form
153,772,344,101.70/230,658,516,152.55 = 153,772,344,101.70/x - Step 3: Cross multiply
153,772,344,101.70x = 230,658,516,152.55 × 153,772,344,101.70 - Step 4: Simplify right side
153,772,344,101.70x = 35,468,900,715,797,445,345,280 - Step 5: Solve for x
x = 35,468,900,715,797,445,345,280/153,772,344,101.70 - Step 6: Final answer
x = 230,658,516,152.55
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1.5x scale
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.