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Finding the Fourth Proportional to 30,274,754,857.05, 45,412,132,285.58 and 30,274,754,857.05

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Solution

The fourth proportional to 30,274,754,857.05, 45,412,132,285.58 and 30,274,754,857.05 is: 45,412,132,285.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,274,754,857.05 : 45,412,132,285.58 = 30,274,754,857.05 : x
  2. Step 2: Convert to fraction form
    30,274,754,857.05/45,412,132,285.58 = 30,274,754,857.05/x
  3. Step 3: Cross multiply
    30,274,754,857.05x = 45,412,132,285.58 × 30,274,754,857.05
  4. Step 4: Simplify right side
    30,274,754,857.05x = 1,374,841,172,481,708,654,592
  5. Step 5: Solve for x
    x = 1,374,841,172,481,708,654,592/30,274,754,857.05
  6. Step 6: Final answer
    x = 45,412,132,285.58

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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.