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Finding the Fourth Proportional to 477,278,341.44, 658,270,978.72 and 310,068,477.44

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Solution

The fourth proportional to 477,278,341.44, 658,270,978.72 and 310,068,477.44 is: 427,652,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,278,341.44 : 658,270,978.72 = 310,068,477.44 : x
  2. Step 2: Convert to fraction form
    477,278,341.44/658,270,978.72 = 310,068,477.44/x
  3. Step 3: Cross multiply
    477,278,341.44x = 658,270,978.72 × 310,068,477.44
  4. Step 4: Simplify right side
    477,278,341.44x = 204,109,080,114,649,056
  5. Step 5: Solve for x
    x = 204,109,080,114,649,056/477,278,341.44
  6. Step 6: Final answer
    x = 427,652,089.76

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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.