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Finding the Fourth Proportional to 291,117,695,930.70, 436,676,543,896.08 and 291,117,695,930.70

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Solution

The fourth proportional to 291,117,695,930.70, 436,676,543,896.08 and 291,117,695,930.70 is: 436,676,543,896.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,117,695,930.70 : 436,676,543,896.08 = 291,117,695,930.70 : x
  2. Step 2: Convert to fraction form
    291,117,695,930.70/436,676,543,896.08 = 291,117,695,930.70/x
  3. Step 3: Cross multiply
    291,117,695,930.70x = 436,676,543,896.08 × 291,117,695,930.70
  4. Step 4: Simplify right side
    291,117,695,930.70x = 127,124,269,326,007,992,844,288
  5. Step 5: Solve for x
    x = 127,124,269,326,007,992,844,288/291,117,695,930.70
  6. Step 6: Final answer
    x = 436,676,543,896.08

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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.