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Finding the Fourth Proportional to 580,653,662.40, 870,961,831.20 and 192,494,404.80

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Solution

The fourth proportional to 580,653,662.40, 870,961,831.20 and 192,494,404.80 is: 288,735,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,653,662.40 : 870,961,831.20 = 192,494,404.80 : x
  2. Step 2: Convert to fraction form
    580,653,662.40/870,961,831.20 = 192,494,404.80/x
  3. Step 3: Cross multiply
    580,653,662.40x = 870,961,831.20 × 192,494,404.80
  4. Step 4: Simplify right side
    580,653,662.40x = 167,655,279,300,362,080
  5. Step 5: Solve for x
    x = 167,655,279,300,362,080/580,653,662.40
  6. Step 6: Final answer
    x = 288,735,420.37

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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.