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Finding the Fourth Proportional to 801,885,072, 1,202,832,922.40 and 310,652,898.06

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Solution

The fourth proportional to 801,885,072, 1,202,832,922.40 and 310,652,898.06 is: 465,981,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,885,072 : 1,202,832,922.40 = 310,652,898.06 : x
  2. Step 2: Convert to fraction form
    801,885,072/1,202,832,922.40 = 310,652,898.06/x
  3. Step 3: Cross multiply
    801,885,072x = 1,202,832,922.40 × 310,652,898.06
  4. Step 4: Simplify right side
    801,885,072x = 373,663,533,225,539,136
  5. Step 5: Solve for x
    x = 373,663,533,225,539,136/801,885,072
  6. Step 6: Final answer
    x = 465,981,405.91

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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.