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Finding the Fourth Proportional to 421,871,129.60, 632,806,694.40 and 421,871,129.60

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Solution

The fourth proportional to 421,871,129.60, 632,806,694.40 and 421,871,129.60 is: 632,806,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,871,129.60 : 632,806,694.40 = 421,871,129.60 : x
  2. Step 2: Convert to fraction form
    421,871,129.60/632,806,694.40 = 421,871,129.60/x
  3. Step 3: Cross multiply
    421,871,129.60x = 632,806,694.40 × 421,871,129.60
  4. Step 4: Simplify right side
    421,871,129.60x = 266,962,874,984,969,984
  5. Step 5: Solve for x
    x = 266,962,874,984,969,984/421,871,129.60
  6. Step 6: Final answer
    x = 632,806,694.40

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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.