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Finding the Fourth Proportional to 722,308,698.73, 996,847,480.17 and 409,098,630.97

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Solution

The fourth proportional to 722,308,698.73, 996,847,480.17 and 409,098,630.97 is: 564,590,929.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,308,698.73 : 996,847,480.17 = 409,098,630.97 : x
  2. Step 2: Convert to fraction form
    722,308,698.73/996,847,480.17 = 409,098,630.97/x
  3. Step 3: Cross multiply
    722,308,698.73x = 996,847,480.17 × 409,098,630.97
  4. Step 4: Simplify right side
    722,308,698.73x = 407,808,939,423,441,216
  5. Step 5: Solve for x
    x = 407,808,939,423,441,216/722,308,698.73
  6. Step 6: Final answer
    x = 564,590,929.25

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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.