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Finding the Fourth Proportional to 898,654,314.70, 1,347,981,472.05 and 898,654,314.70

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Solution

The fourth proportional to 898,654,314.70, 1,347,981,472.05 and 898,654,314.70 is: 1,347,981,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,654,314.70 : 1,347,981,472.05 = 898,654,314.70 : x
  2. Step 2: Convert to fraction form
    898,654,314.70/1,347,981,472.05 = 898,654,314.70/x
  3. Step 3: Cross multiply
    898,654,314.70x = 1,347,981,472.05 × 898,654,314.70
  4. Step 4: Simplify right side
    898,654,314.70x = 1,211,369,365,993,390,080
  5. Step 5: Solve for x
    x = 1,211,369,365,993,390,080/898,654,314.70
  6. Step 6: Final answer
    x = 1,347,981,472.05

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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.