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Finding the Fourth Proportional to 497,714,016.60, 746,571,024.90 and 455,387,693.40

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Solution

The fourth proportional to 497,714,016.60, 746,571,024.90 and 455,387,693.40 is: 683,081,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,714,016.60 : 746,571,024.90 = 455,387,693.40 : x
  2. Step 2: Convert to fraction form
    497,714,016.60/746,571,024.90 = 455,387,693.40/x
  3. Step 3: Cross multiply
    497,714,016.60x = 746,571,024.90 × 455,387,693.40
  4. Step 4: Simplify right side
    497,714,016.60x = 339,979,256,988,484,928
  5. Step 5: Solve for x
    x = 339,979,256,988,484,928/497,714,016.60
  6. Step 6: Final answer
    x = 683,081,540.10

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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.