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Finding the Fourth Proportional to 424,134,205,430.45, 636,201,308,145.70 and 424,134,205,430.45

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Solution

The fourth proportional to 424,134,205,430.45, 636,201,308,145.70 and 424,134,205,430.45 is: 636,201,308,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,134,205,430.45 : 636,201,308,145.70 = 424,134,205,430.45 : x
  2. Step 2: Convert to fraction form
    424,134,205,430.45/636,201,308,145.70 = 424,134,205,430.45/x
  3. Step 3: Cross multiply
    424,134,205,430.45x = 636,201,308,145.70 × 424,134,205,430.45
  4. Step 4: Simplify right side
    424,134,205,430.45x = 269,834,736,324,189,322,477,568
  5. Step 5: Solve for x
    x = 269,834,736,324,189,322,477,568/424,134,205,430.45
  6. Step 6: Final answer
    x = 636,201,308,145.70

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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.