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Finding the Fourth Proportional to 310,086,144,830.30, 465,129,217,245.45 and 310,086,144,830.30

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Solution

The fourth proportional to 310,086,144,830.30, 465,129,217,245.45 and 310,086,144,830.30 is: 465,129,217,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,086,144,830.30 : 465,129,217,245.45 = 310,086,144,830.30 : x
  2. Step 2: Convert to fraction form
    310,086,144,830.30/465,129,217,245.45 = 310,086,144,830.30/x
  3. Step 3: Cross multiply
    310,086,144,830.30x = 465,129,217,245.45 × 310,086,144,830.30
  4. Step 4: Simplify right side
    310,086,144,830.30x = 144,230,125,823,576,676,237,312
  5. Step 5: Solve for x
    x = 144,230,125,823,576,676,237,312/310,086,144,830.30
  6. Step 6: Final answer
    x = 465,129,217,245.45

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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.