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Finding the Fourth Proportional to 344,307,948.80, 516,461,923.20 and 344,307,948.80

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Solution

The fourth proportional to 344,307,948.80, 516,461,923.20 and 344,307,948.80 is: 516,461,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,307,948.80 : 516,461,923.20 = 344,307,948.80 : x
  2. Step 2: Convert to fraction form
    344,307,948.80/516,461,923.20 = 344,307,948.80/x
  3. Step 3: Cross multiply
    344,307,948.80x = 516,461,923.20 × 344,307,948.80
  4. Step 4: Simplify right side
    344,307,948.80x = 177,821,945,410,295,136
  5. Step 5: Solve for x
    x = 177,821,945,410,295,136/344,307,948.80
  6. Step 6: Final answer
    x = 516,461,923.20

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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.