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Finding the Fourth Proportional to 459,032,483,709.47, 633,667,978,902 and 296,531,380,755.03

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Solution

The fourth proportional to 459,032,483,709.47, 633,667,978,902 and 296,531,380,755.03 is: 409,344,539,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,032,483,709.47 : 633,667,978,902 = 296,531,380,755.03 : x
  2. Step 2: Convert to fraction form
    459,032,483,709.47/633,667,978,902 = 296,531,380,755.03/x
  3. Step 3: Cross multiply
    459,032,483,709.47x = 633,667,978,902 × 296,531,380,755.03
  4. Step 4: Simplify right side
    459,032,483,709.47x = 187,902,440,724,059,303,968,768
  5. Step 5: Solve for x
    x = 187,902,440,724,059,303,968,768/459,032,483,709.47
  6. Step 6: Final answer
    x = 409,344,539,640.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.