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Finding the Fourth Proportional to 516,562,292,254.75, 774,843,438,382.10 and 516,562,292,254.75

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Solution

The fourth proportional to 516,562,292,254.75, 774,843,438,382.10 and 516,562,292,254.75 is: 774,843,438,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,562,292,254.75 : 774,843,438,382.10 = 516,562,292,254.75 : x
  2. Step 2: Convert to fraction form
    516,562,292,254.75/774,843,438,382.10 = 516,562,292,254.75/x
  3. Step 3: Cross multiply
    516,562,292,254.75x = 774,843,438,382.10 × 516,562,292,254.75
  4. Step 4: Simplify right side
    516,562,292,254.75x = 400,254,902,669,209,682,051,072
  5. Step 5: Solve for x
    x = 400,254,902,669,209,682,051,072/516,562,292,254.75
  6. Step 6: Final answer
    x = 774,843,438,382.10

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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.