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Finding the Fourth Proportional to 517,267,906.16, 713,819,592.12 and 282,320,251.12

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Solution

The fourth proportional to 517,267,906.16, 713,819,592.12 and 282,320,251.12 is: 389,596,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,267,906.16 : 713,819,592.12 = 282,320,251.12 : x
  2. Step 2: Convert to fraction form
    517,267,906.16/713,819,592.12 = 282,320,251.12/x
  3. Step 3: Cross multiply
    517,267,906.16x = 713,819,592.12 × 282,320,251.12
  4. Step 4: Simplify right side
    517,267,906.16x = 201,525,726,501,694,368
  5. Step 5: Solve for x
    x = 201,525,726,501,694,368/517,267,906.16
  6. Step 6: Final answer
    x = 389,596,424.02

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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.