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Finding the Fourth Proportional to 307,282,772.35, 460,924,158.53 and 307,282,772.35

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Solution

The fourth proportional to 307,282,772.35, 460,924,158.53 and 307,282,772.35 is: 460,924,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,282,772.35 : 460,924,158.53 = 307,282,772.35 : x
  2. Step 2: Convert to fraction form
    307,282,772.35/460,924,158.53 = 307,282,772.35/x
  3. Step 3: Cross multiply
    307,282,772.35x = 460,924,158.53 × 307,282,772.35
  4. Step 4: Simplify right side
    307,282,772.35x = 141,634,053,274,652,896
  5. Step 5: Solve for x
    x = 141,634,053,274,652,896/307,282,772.35
  6. Step 6: Final answer
    x = 460,924,158.53

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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.