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Finding the Fourth Proportional to 378,233,744.40, 566,909,717.40 and 173,782,486.80

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Solution

The fourth proportional to 378,233,744.40, 566,909,717.40 and 173,782,486.80 is: 260,471,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,233,744.40 : 566,909,717.40 = 173,782,486.80 : x
  2. Step 2: Convert to fraction form
    378,233,744.40/566,909,717.40 = 173,782,486.80/x
  3. Step 3: Cross multiply
    378,233,744.40x = 566,909,717.40 × 173,782,486.80
  4. Step 4: Simplify right side
    378,233,744.40x = 98,518,980,480,857,232
  5. Step 5: Solve for x
    x = 98,518,980,480,857,232/378,233,744.40
  6. Step 6: Final answer
    x = 260,471,155.57

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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.