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Finding the Fourth Proportional to 253,718,999.10, 354,441,323.70 and 253,718,999.10

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Solution

The fourth proportional to 253,718,999.10, 354,441,323.70 and 253,718,999.10 is: 354,441,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,718,999.10 : 354,441,323.70 = 253,718,999.10 : x
  2. Step 2: Convert to fraction form
    253,718,999.10/354,441,323.70 = 253,718,999.10/x
  3. Step 3: Cross multiply
    253,718,999.10x = 354,441,323.70 × 253,718,999.10
  4. Step 4: Simplify right side
    253,718,999.10x = 89,928,497,888,843,104
  5. Step 5: Solve for x
    x = 89,928,497,888,843,104/253,718,999.10
  6. Step 6: Final answer
    x = 354,441,323.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.