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Finding the Fourth Proportional to 601,871,141.70, 902,806,712.55 and 510,038,136.90

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Solution

The fourth proportional to 601,871,141.70, 902,806,712.55 and 510,038,136.90 is: 765,057,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,871,141.70 : 902,806,712.55 = 510,038,136.90 : x
  2. Step 2: Convert to fraction form
    601,871,141.70/902,806,712.55 = 510,038,136.90/x
  3. Step 3: Cross multiply
    601,871,141.70x = 902,806,712.55 × 510,038,136.90
  4. Step 4: Simplify right side
    601,871,141.70x = 460,465,853,649,815,808
  5. Step 5: Solve for x
    x = 460,465,853,649,815,808/601,871,141.70
  6. Step 6: Final answer
    x = 765,057,205.35

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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.