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Finding the Fourth Proportional to 209,952,203.60, 314,928,305.40 and 56,613,760.40

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Solution

The fourth proportional to 209,952,203.60, 314,928,305.40 and 56,613,760.40 is: 84,920,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,203.60 : 314,928,305.40 = 56,613,760.40 : x
  2. Step 2: Convert to fraction form
    209,952,203.60/314,928,305.40 = 56,613,760.40/x
  3. Step 3: Cross multiply
    209,952,203.60x = 314,928,305.40 × 56,613,760.40
  4. Step 4: Simplify right side
    209,952,203.60x = 17,829,275,625,093,624
  5. Step 5: Solve for x
    x = 17,829,275,625,093,624/209,952,203.60
  6. Step 6: Final answer
    x = 84,920,640.60

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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.