Finding the Fourth Proportional to 417,154,070.07, 575,673,247.26 and 226,415,155.95
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Solution
The fourth proportional to 417,154,070.07, 575,673,247.26 and 226,415,155.95 is: 312,453,257.46
Step by Step Solution
- Step 1: Write the proportion equation
417,154,070.07 : 575,673,247.26 = 226,415,155.95 : x - Step 2: Convert to fraction form
417,154,070.07/575,673,247.26 = 226,415,155.95/x - Step 3: Cross multiply
417,154,070.07x = 575,673,247.26 × 226,415,155.95 - Step 4: Simplify right side
417,154,070.07x = 130,341,148,054,615,808 - Step 5: Solve for x
x = 130,341,148,054,615,808/417,154,070.07 - Step 6: Final answer
x = 312,453,257.46
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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.