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Finding the Fourth Proportional to 330,165,897.70, 495,248,846.55 and 330,165,897.70

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Solution

The fourth proportional to 330,165,897.70, 495,248,846.55 and 330,165,897.70 is: 495,248,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,165,897.70 : 495,248,846.55 = 330,165,897.70 : x
  2. Step 2: Convert to fraction form
    330,165,897.70/495,248,846.55 = 330,165,897.70/x
  3. Step 3: Cross multiply
    330,165,897.70x = 495,248,846.55 × 330,165,897.70
  4. Step 4: Simplify right side
    330,165,897.70x = 163,514,280,006,070,304
  5. Step 5: Solve for x
    x = 163,514,280,006,070,304/330,165,897.70
  6. Step 6: Final answer
    x = 495,248,846.55

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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.