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Finding the Fourth Proportional to 209,952,224.70, 314,928,337.05 and 102,456,800.70

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Solution

The fourth proportional to 209,952,224.70, 314,928,337.05 and 102,456,800.70 is: 153,685,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,224.70 : 314,928,337.05 = 102,456,800.70 : x
  2. Step 2: Convert to fraction form
    209,952,224.70/314,928,337.05 = 102,456,800.70/x
  3. Step 3: Cross multiply
    209,952,224.70x = 314,928,337.05 × 102,456,800.70
  4. Step 4: Simplify right side
    209,952,224.70x = 32,266,549,863,914,280
  5. Step 5: Solve for x
    x = 32,266,549,863,914,280/209,952,224.70
  6. Step 6: Final answer
    x = 153,685,201.05

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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.