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Finding the Fourth Proportional to 405,473,753,969.67, 559,554,393,414.90 and 220,075,529,425.90

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Solution

The fourth proportional to 405,473,753,969.67, 559,554,393,414.90 and 220,075,529,425.90 is: 303,704,563,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,473,753,969.67 : 559,554,393,414.90 = 220,075,529,425.90 : x
  2. Step 2: Convert to fraction form
    405,473,753,969.67/559,554,393,414.90 = 220,075,529,425.90/x
  3. Step 3: Cross multiply
    405,473,753,969.67x = 559,554,393,414.90 × 220,075,529,425.90
  4. Step 4: Simplify right side
    405,473,753,969.67x = 123,144,229,373,372,450,996,224
  5. Step 5: Solve for x
    x = 123,144,229,373,372,450,996,224/405,473,753,969.67
  6. Step 6: Final answer
    x = 303,704,563,286.19

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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.