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Finding the Fourth Proportional to 518,275,281.60, 711,412,803.99 and 458,222,448.60

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Solution

The fourth proportional to 518,275,281.60, 711,412,803.99 and 458,222,448.60 is: 628,981,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,275,281.60 : 711,412,803.99 = 458,222,448.60 : x
  2. Step 2: Convert to fraction form
    518,275,281.60/711,412,803.99 = 458,222,448.60/x
  3. Step 3: Cross multiply
    518,275,281.60x = 711,412,803.99 × 458,222,448.60
  4. Step 4: Simplify right side
    518,275,281.60x = 325,985,317,009,689,664
  5. Step 5: Solve for x
    x = 325,985,317,009,689,664/518,275,281.60
  6. Step 6: Final answer
    x = 628,981,023.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.