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Finding the Fourth Proportional to 403,634,142,003.40, 605,451,213,005.10 and 403,634,142,003.40

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Solution

The fourth proportional to 403,634,142,003.40, 605,451,213,005.10 and 403,634,142,003.40 is: 605,451,213,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,634,142,003.40 : 605,451,213,005.10 = 403,634,142,003.40 : x
  2. Step 2: Convert to fraction form
    403,634,142,003.40/605,451,213,005.10 = 403,634,142,003.40/x
  3. Step 3: Cross multiply
    403,634,142,003.40x = 605,451,213,005.10 × 403,634,142,003.40
  4. Step 4: Simplify right side
    403,634,142,003.40x = 244,380,780,886,231,307,255,808
  5. Step 5: Solve for x
    x = 244,380,780,886,231,307,255,808/403,634,142,003.40
  6. Step 6: Final answer
    x = 605,451,213,005.10

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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.