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Finding the Fourth Proportional to 66,308,381,995.20, 99,462,572,992.80 and 66,308,381,995.20

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Solution

The fourth proportional to 66,308,381,995.20, 99,462,572,992.80 and 66,308,381,995.20 is: 99,462,572,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,308,381,995.20 : 99,462,572,992.80 = 66,308,381,995.20 : x
  2. Step 2: Convert to fraction form
    66,308,381,995.20/99,462,572,992.80 = 66,308,381,995.20/x
  3. Step 3: Cross multiply
    66,308,381,995.20x = 99,462,572,992.80 × 66,308,381,995.20
  4. Step 4: Simplify right side
    66,308,381,995.20x = 6,595,202,284,232,044,969,984
  5. Step 5: Solve for x
    x = 6,595,202,284,232,044,969,984/66,308,381,995.20
  6. Step 6: Final answer
    x = 99,462,572,992.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.