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Finding the Fourth Proportional to 200,587,055.40, 300,402,286.20 and 200,587,055.40

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Solution

The fourth proportional to 200,587,055.40, 300,402,286.20 and 200,587,055.40 is: 300,402,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,587,055.40 : 300,402,286.20 = 200,587,055.40 : x
  2. Step 2: Convert to fraction form
    200,587,055.40/300,402,286.20 = 200,587,055.40/x
  3. Step 3: Cross multiply
    200,587,055.40x = 300,402,286.20 × 200,587,055.40
  4. Step 4: Simplify right side
    200,587,055.40x = 60,256,810,024,286,056
  5. Step 5: Solve for x
    x = 60,256,810,024,286,056/200,587,055.40
  6. Step 6: Final answer
    x = 300,402,286.20

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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.