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Finding the Fourth Proportional to 330,079,565,540.45, 495,119,348,310.68 and 330,079,565,540.45

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Solution

The fourth proportional to 330,079,565,540.45, 495,119,348,310.68 and 330,079,565,540.45 is: 495,119,348,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,079,565,540.45 : 495,119,348,310.68 = 330,079,565,540.45 : x
  2. Step 2: Convert to fraction form
    330,079,565,540.45/495,119,348,310.68 = 330,079,565,540.45/x
  3. Step 3: Cross multiply
    330,079,565,540.45x = 495,119,348,310.68 × 330,079,565,540.45
  4. Step 4: Simplify right side
    330,079,565,540.45x = 163,428,779,381,059,982,721,024
  5. Step 5: Solve for x
    x = 163,428,779,381,059,982,721,024/330,079,565,540.45
  6. Step 6: Final answer
    x = 495,119,348,310.68

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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.