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Finding the Fourth Proportional to 520,138,051.80, 780,207,077.70 and 472,520,938.20

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Solution

The fourth proportional to 520,138,051.80, 780,207,077.70 and 472,520,938.20 is: 708,781,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,138,051.80 : 780,207,077.70 = 472,520,938.20 : x
  2. Step 2: Convert to fraction form
    520,138,051.80/780,207,077.70 = 472,520,938.20/x
  3. Step 3: Cross multiply
    520,138,051.80x = 780,207,077.70 × 472,520,938.20
  4. Step 4: Simplify right side
    520,138,051.80x = 368,664,180,345,084,288
  5. Step 5: Solve for x
    x = 368,664,180,345,084,288/520,138,051.80
  6. Step 6: Final answer
    x = 708,781,407.30

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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.