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Finding the Fourth Proportional to 896,654,145,627.80, 1,344,981,218,441.80 and 896,654,145,627.80

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Solution

The fourth proportional to 896,654,145,627.80, 1,344,981,218,441.80 and 896,654,145,627.80 is: 1,344,981,218,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,654,145,627.80 : 1,344,981,218,441.80 = 896,654,145,627.80 : x
  2. Step 2: Convert to fraction form
    896,654,145,627.80/1,344,981,218,441.80 = 896,654,145,627.80/x
  3. Step 3: Cross multiply
    896,654,145,627.80x = 1,344,981,218,441.80 × 896,654,145,627.80
  4. Step 4: Simplify right side
    896,654,145,627.80x = 1,205,982,985,307,369,729,163,264
  5. Step 5: Solve for x
    x = 1,205,982,985,307,369,729,163,264/896,654,145,627.80
  6. Step 6: Final answer
    x = 1,344,981,218,441.80

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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.