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Finding the Fourth Proportional to 194,042,334,674.70, 291,063,502,012.06 and 194,042,334,674.70

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Solution

The fourth proportional to 194,042,334,674.70, 291,063,502,012.06 and 194,042,334,674.70 is: 291,063,502,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,042,334,674.70 : 291,063,502,012.06 = 194,042,334,674.70 : x
  2. Step 2: Convert to fraction form
    194,042,334,674.70/291,063,502,012.06 = 194,042,334,674.70/x
  3. Step 3: Cross multiply
    194,042,334,674.70x = 291,063,502,012.06 × 194,042,334,674.70
  4. Step 4: Simplify right side
    194,042,334,674.70x = 56,478,641,469,014,367,272,960
  5. Step 5: Solve for x
    x = 56,478,641,469,014,367,272,960/194,042,334,674.70
  6. Step 6: Final answer
    x = 291,063,502,012.06

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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.