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Finding the Fourth Proportional to 533,117,900.40, 799,676,850.60 and 465,093,452.40

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Solution

The fourth proportional to 533,117,900.40, 799,676,850.60 and 465,093,452.40 is: 697,640,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,117,900.40 : 799,676,850.60 = 465,093,452.40 : x
  2. Step 2: Convert to fraction form
    533,117,900.40/799,676,850.60 = 465,093,452.40/x
  3. Step 3: Cross multiply
    533,117,900.40x = 799,676,850.60 × 465,093,452.40
  4. Step 4: Simplify right side
    533,117,900.40x = 371,924,467,249,913,024
  5. Step 5: Solve for x
    x = 371,924,467,249,913,024/533,117,900.40
  6. Step 6: Final answer
    x = 697,640,178.60

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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.