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Finding the Fourth Proportional to 231,052,176,003.80, 346,578,264,005.70 and 231,052,176,003.80

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Solution

The fourth proportional to 231,052,176,003.80, 346,578,264,005.70 and 231,052,176,003.80 is: 346,578,264,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,052,176,003.80 : 346,578,264,005.70 = 231,052,176,003.80 : x
  2. Step 2: Convert to fraction form
    231,052,176,003.80/346,578,264,005.70 = 231,052,176,003.80/x
  3. Step 3: Cross multiply
    231,052,176,003.80x = 346,578,264,005.70 × 231,052,176,003.80
  4. Step 4: Simplify right side
    231,052,176,003.80x = 80,077,662,054,136,462,442,496
  5. Step 5: Solve for x
    x = 80,077,662,054,136,462,442,496/231,052,176,003.80
  6. Step 6: Final answer
    x = 346,578,264,005.70

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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.