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Finding the Fourth Proportional to 510,603,485,184.40, 765,905,227,776.60 and 510,603,485,184.40

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Solution

The fourth proportional to 510,603,485,184.40, 765,905,227,776.60 and 510,603,485,184.40 is: 765,905,227,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,603,485,184.40 : 765,905,227,776.60 = 510,603,485,184.40 : x
  2. Step 2: Convert to fraction form
    510,603,485,184.40/765,905,227,776.60 = 510,603,485,184.40/x
  3. Step 3: Cross multiply
    510,603,485,184.40x = 765,905,227,776.60 × 510,603,485,184.40
  4. Step 4: Simplify right side
    510,603,485,184.40x = 391,073,878,623,683,698,753,536
  5. Step 5: Solve for x
    x = 391,073,878,623,683,698,753,536/510,603,485,184.40
  6. Step 6: Final answer
    x = 765,905,227,776.60

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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.