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Finding the Fourth Proportional to 601,871,107.20, 902,806,660.80 and 510,038,102.40

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Solution

The fourth proportional to 601,871,107.20, 902,806,660.80 and 510,038,102.40 is: 765,057,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,871,107.20 : 902,806,660.80 = 510,038,102.40 : x
  2. Step 2: Convert to fraction form
    601,871,107.20/902,806,660.80 = 510,038,102.40/x
  3. Step 3: Cross multiply
    601,871,107.20x = 902,806,660.80 × 510,038,102.40
  4. Step 4: Simplify right side
    601,871,107.20x = 460,465,796,108,512,448
  5. Step 5: Solve for x
    x = 460,465,796,108,512,448/601,871,107.20
  6. Step 6: Final answer
    x = 765,057,153.60

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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.