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Finding the Fourth Proportional to 313,308,001.65, 469,962,002.49 and 313,308,001.65

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Solution

The fourth proportional to 313,308,001.65, 469,962,002.49 and 313,308,001.65 is: 469,962,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,308,001.65 : 469,962,002.49 = 313,308,001.65 : x
  2. Step 2: Convert to fraction form
    313,308,001.65/469,962,002.49 = 313,308,001.65/x
  3. Step 3: Cross multiply
    313,308,001.65x = 469,962,002.49 × 313,308,001.65
  4. Step 4: Simplify right side
    313,308,001.65x = 147,242,855,851,574,208
  5. Step 5: Solve for x
    x = 147,242,855,851,574,208/313,308,001.65
  6. Step 6: Final answer
    x = 469,962,002.49

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Double scale
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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.