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Finding the Fourth Proportional to 213,263,361.40, 298,971,813.80 and 213,263,361.40

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Solution

The fourth proportional to 213,263,361.40, 298,971,813.80 and 213,263,361.40 is: 298,971,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,263,361.40 : 298,971,813.80 = 213,263,361.40 : x
  2. Step 2: Convert to fraction form
    213,263,361.40/298,971,813.80 = 213,263,361.40/x
  3. Step 3: Cross multiply
    213,263,361.40x = 298,971,813.80 × 213,263,361.40
  4. Step 4: Simplify right side
    213,263,361.40x = 63,759,733,974,842,912
  5. Step 5: Solve for x
    x = 63,759,733,974,842,912/213,263,361.40
  6. Step 6: Final answer
    x = 298,971,813.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.