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Finding the Fourth Proportional to 463,994,654.16, 695,843,116.68 and 153,032,355.60

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Solution

The fourth proportional to 463,994,654.16, 695,843,116.68 and 153,032,355.60 is: 229,499,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,994,654.16 : 695,843,116.68 = 153,032,355.60 : x
  2. Step 2: Convert to fraction form
    463,994,654.16/695,843,116.68 = 153,032,355.60/x
  3. Step 3: Cross multiply
    463,994,654.16x = 695,843,116.68 × 153,032,355.60
  4. Step 4: Simplify right side
    463,994,654.16x = 106,486,511,273,586,032
  5. Step 5: Solve for x
    x = 106,486,511,273,586,032/463,994,654.16
  6. Step 6: Final answer
    x = 229,499,435.65

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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.