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Finding the Fourth Proportional to 413,771,652,002.05, 620,657,478,003.07 and 413,771,652,002.05

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Solution

The fourth proportional to 413,771,652,002.05, 620,657,478,003.07 and 413,771,652,002.05 is: 620,657,478,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,771,652,002.05 : 620,657,478,003.07 = 413,771,652,002.05 : x
  2. Step 2: Convert to fraction form
    413,771,652,002.05/620,657,478,003.07 = 413,771,652,002.05/x
  3. Step 3: Cross multiply
    413,771,652,002.05x = 620,657,478,003.07 × 413,771,652,002.05
  4. Step 4: Simplify right side
    413,771,652,002.05x = 256,810,470,000,756,269,252,608
  5. Step 5: Solve for x
    x = 256,810,470,000,756,269,252,608/413,771,652,002.05
  6. Step 6: Final answer
    x = 620,657,478,003.07

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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.