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Finding the Fourth Proportional to 601,871,109.20, 902,806,663.80 and 601,871,109.20

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Solution

The fourth proportional to 601,871,109.20, 902,806,663.80 and 601,871,109.20 is: 902,806,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,871,109.20 : 902,806,663.80 = 601,871,109.20 : x
  2. Step 2: Convert to fraction form
    601,871,109.20/902,806,663.80 = 601,871,109.20/x
  3. Step 3: Cross multiply
    601,871,109.20x = 902,806,663.80 × 601,871,109.20
  4. Step 4: Simplify right side
    601,871,109.20x = 543,373,248,134,457,472
  5. Step 5: Solve for x
    x = 543,373,248,134,457,472/601,871,109.20
  6. Step 6: Final answer
    x = 902,806,663.80

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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.