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Finding the Fourth Proportional to 413,185,536,353.80, 619,778,304,530.70 and 413,185,536,353.80

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Solution

The fourth proportional to 413,185,536,353.80, 619,778,304,530.70 and 413,185,536,353.80 is: 619,778,304,530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,185,536,353.80 : 619,778,304,530.70 = 413,185,536,353.80 : x
  2. Step 2: Convert to fraction form
    413,185,536,353.80/619,778,304,530.70 = 413,185,536,353.80/x
  3. Step 3: Cross multiply
    413,185,536,353.80x = 619,778,304,530.70 × 413,185,536,353.80
  4. Step 4: Simplify right side
    413,185,536,353.80x = 256,083,431,177,966,036,451,328
  5. Step 5: Solve for x
    x = 256,083,431,177,966,036,451,328/413,185,536,353.80
  6. Step 6: Final answer
    x = 619,778,304,530.70

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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.