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Finding the Fourth Proportional to 342,103,465.60, 472,171,368 and 202,951,465.60

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Solution

The fourth proportional to 342,103,465.60, 472,171,368 and 202,951,465.60 is: 280,113,710.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,103,465.60 : 472,171,368 = 202,951,465.60 : x
  2. Step 2: Convert to fraction form
    342,103,465.60/472,171,368 = 202,951,465.60/x
  3. Step 3: Cross multiply
    342,103,465.60x = 472,171,368 × 202,951,465.60
  4. Step 4: Simplify right side
    342,103,465.60x = 95,827,871,149,956,944
  5. Step 5: Solve for x
    x = 95,827,871,149,956,944/342,103,465.60
  6. Step 6: Final answer
    x = 280,113,710.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.