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Finding the Fourth Proportional to 610,424,756.80, 915,693,122.40 and 201,481,806.40

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Solution

The fourth proportional to 610,424,756.80, 915,693,122.40 and 201,481,806.40 is: 302,241,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,424,756.80 : 915,693,122.40 = 201,481,806.40 : x
  2. Step 2: Convert to fraction form
    610,424,756.80/915,693,122.40 = 201,481,806.40/x
  3. Step 3: Cross multiply
    610,424,756.80x = 915,693,122.40 × 201,481,806.40
  4. Step 4: Simplify right side
    610,424,756.80x = 184,495,504,409,208,320
  5. Step 5: Solve for x
    x = 184,495,504,409,208,320/610,424,756.80
  6. Step 6: Final answer
    x = 302,241,189.19

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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.