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Finding the Fourth Proportional to 74,490,204,012.45, 111,735,306,018.71 and 74,490,204,012.45

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Solution

The fourth proportional to 74,490,204,012.45, 111,735,306,018.71 and 74,490,204,012.45 is: 111,735,306,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,490,204,012.45 : 111,735,306,018.71 = 74,490,204,012.45 : x
  2. Step 2: Convert to fraction form
    74,490,204,012.45/111,735,306,018.71 = 74,490,204,012.45/x
  3. Step 3: Cross multiply
    74,490,204,012.45x = 111,735,306,018.71 × 74,490,204,012.45
  4. Step 4: Simplify right side
    74,490,204,012.45x = 8,323,185,740,727,240,884,224
  5. Step 5: Solve for x
    x = 8,323,185,740,727,240,884,224/74,490,204,012.45
  6. Step 6: Final answer
    x = 111,735,306,018.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.