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Finding the Fourth Proportional to 577,460,019.20, 866,402,605.20 and 189,295,512.80

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Solution

The fourth proportional to 577,460,019.20, 866,402,605.20 and 189,295,512.80 is: 284,012,953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,460,019.20 : 866,402,605.20 = 189,295,512.80 : x
  2. Step 2: Convert to fraction form
    577,460,019.20/866,402,605.20 = 189,295,512.80/x
  3. Step 3: Cross multiply
    577,460,019.20x = 866,402,605.20 × 189,295,512.80
  4. Step 4: Simplify right side
    577,460,019.20x = 164,006,125,442,589,952
  5. Step 5: Solve for x
    x = 164,006,125,442,589,952/577,460,019.20
  6. Step 6: Final answer
    x = 284,012,953.26

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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.