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Finding the Fourth Proportional to 497,664,476.40, 746,496,714.60 and 417,042,908.40

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Solution

The fourth proportional to 497,664,476.40, 746,496,714.60 and 417,042,908.40 is: 625,564,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,476.40 : 746,496,714.60 = 417,042,908.40 : x
  2. Step 2: Convert to fraction form
    497,664,476.40/746,496,714.60 = 417,042,908.40/x
  3. Step 3: Cross multiply
    497,664,476.40x = 746,496,714.60 × 417,042,908.40
  4. Step 4: Simplify right side
    497,664,476.40x = 311,321,160,967,828,736
  5. Step 5: Solve for x
    x = 311,321,160,967,828,736/497,664,476.40
  6. Step 6: Final answer
    x = 625,564,362.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.