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Finding the Fourth Proportional to 417,312,752,969.15, 625,969,129,453.70 and 417,312,752,969.15

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Solution

The fourth proportional to 417,312,752,969.15, 625,969,129,453.70 and 417,312,752,969.15 is: 625,969,129,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,312,752,969.15 : 625,969,129,453.70 = 417,312,752,969.15 : x
  2. Step 2: Convert to fraction form
    417,312,752,969.15/625,969,129,453.70 = 417,312,752,969.15/x
  3. Step 3: Cross multiply
    417,312,752,969.15x = 625,969,129,453.70 × 417,312,752,969.15
  4. Step 4: Simplify right side
    417,312,752,969.15x = 261,224,900,686,025,790,062,592
  5. Step 5: Solve for x
    x = 261,224,900,686,025,790,062,592/417,312,752,969.15
  6. Step 6: Final answer
    x = 625,969,129,453.70

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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.