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Finding the Fourth Proportional to 468,234,358.80, 646,116,323.78 and 259,351,473.76

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Solution

The fourth proportional to 468,234,358.80, 646,116,323.78 and 259,351,473.76 is: 357,878,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,234,358.80 : 646,116,323.78 = 259,351,473.76 : x
  2. Step 2: Convert to fraction form
    468,234,358.80/646,116,323.78 = 259,351,473.76/x
  3. Step 3: Cross multiply
    468,234,358.80x = 646,116,323.78 × 259,351,473.76
  4. Step 4: Simplify right side
    468,234,358.80x = 167,571,220,792,736,320
  5. Step 5: Solve for x
    x = 167,571,220,792,736,320/468,234,358.80
  6. Step 6: Final answer
    x = 357,878,950.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.