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Finding the Fourth Proportional to 209,952,472.20, 314,928,708.30 and 102,457,048.20

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Solution

The fourth proportional to 209,952,472.20, 314,928,708.30 and 102,457,048.20 is: 153,685,572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,472.20 : 314,928,708.30 = 102,457,048.20 : x
  2. Step 2: Convert to fraction form
    209,952,472.20/314,928,708.30 = 102,457,048.20/x
  3. Step 3: Cross multiply
    209,952,472.20x = 314,928,708.30 × 102,457,048.20
  4. Step 4: Simplify right side
    209,952,472.20x = 32,266,665,845,856,844
  5. Step 5: Solve for x
    x = 32,266,665,845,856,844/209,952,472.20
  6. Step 6: Final answer
    x = 153,685,572.30

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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.