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Finding the Fourth Proportional to 319,221,736.65, 478,832,604.98 and 319,221,736.65

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Solution

The fourth proportional to 319,221,736.65, 478,832,604.98 and 319,221,736.65 is: 478,832,604.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,221,736.65 : 478,832,604.98 = 319,221,736.65 : x
  2. Step 2: Convert to fraction form
    319,221,736.65/478,832,604.98 = 319,221,736.65/x
  3. Step 3: Cross multiply
    319,221,736.65x = 478,832,604.98 × 319,221,736.65
  4. Step 4: Simplify right side
    319,221,736.65x = 152,853,775,724,762,912
  5. Step 5: Solve for x
    x = 152,853,775,724,762,912/319,221,736.65
  6. Step 6: Final answer
    x = 478,832,604.98

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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.