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Finding the Fourth Proportional to 208,770,174,686.80, 313,155,262,030.20 and 208,770,174,686.80

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Solution

The fourth proportional to 208,770,174,686.80, 313,155,262,030.20 and 208,770,174,686.80 is: 313,155,262,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,770,174,686.80 : 313,155,262,030.20 = 208,770,174,686.80 : x
  2. Step 2: Convert to fraction form
    208,770,174,686.80/313,155,262,030.20 = 208,770,174,686.80/x
  3. Step 3: Cross multiply
    208,770,174,686.80x = 313,155,262,030.20 × 208,770,174,686.80
  4. Step 4: Simplify right side
    208,770,174,686.80x = 65,377,478,758,135,479,926,784
  5. Step 5: Solve for x
    x = 65,377,478,758,135,479,926,784/208,770,174,686.80
  6. Step 6: Final answer
    x = 313,155,262,030.20

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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.