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Finding the Fourth Proportional to 268,349,839.80, 402,524,759.70 and 203,852,585.40

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Solution

The fourth proportional to 268,349,839.80, 402,524,759.70 and 203,852,585.40 is: 305,778,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,349,839.80 : 402,524,759.70 = 203,852,585.40 : x
  2. Step 2: Convert to fraction form
    268,349,839.80/402,524,759.70 = 203,852,585.40/x
  3. Step 3: Cross multiply
    268,349,839.80x = 402,524,759.70 × 203,852,585.40
  4. Step 4: Simplify right side
    268,349,839.80x = 82,055,712,952,358,736
  5. Step 5: Solve for x
    x = 82,055,712,952,358,736/268,349,839.80
  6. Step 6: Final answer
    x = 305,778,878.10

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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.