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Finding the Fourth Proportional to 341,673,984,221.60, 512,510,976,332.40 and 341,673,984,221.60

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Solution

The fourth proportional to 341,673,984,221.60, 512,510,976,332.40 and 341,673,984,221.60 is: 512,510,976,332.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,673,984,221.60 : 512,510,976,332.40 = 341,673,984,221.60 : x
  2. Step 2: Convert to fraction form
    341,673,984,221.60/512,510,976,332.40 = 341,673,984,221.60/x
  3. Step 3: Cross multiply
    341,673,984,221.60x = 512,510,976,332.40 × 341,673,984,221.60
  4. Step 4: Simplify right side
    341,673,984,221.60x = 175,111,667,240,793,232,375,808
  5. Step 5: Solve for x
    x = 175,111,667,240,793,232,375,808/341,673,984,221.60
  6. Step 6: Final answer
    x = 512,510,976,332.40

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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.