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Finding the Fourth Proportional to 834,971,893.97, 1,152,461,894.30 and 477,946,633.20

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Solution

The fourth proportional to 834,971,893.97, 1,152,461,894.30 and 477,946,633.20 is: 659,681,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,971,893.97 : 1,152,461,894.30 = 477,946,633.20 : x
  2. Step 2: Convert to fraction form
    834,971,893.97/1,152,461,894.30 = 477,946,633.20/x
  3. Step 3: Cross multiply
    834,971,893.97x = 1,152,461,894.30 × 477,946,633.20
  4. Step 4: Simplify right side
    834,971,893.97x = 550,815,282,269,589,568
  5. Step 5: Solve for x
    x = 550,815,282,269,589,568/834,971,893.97
  6. Step 6: Final answer
    x = 659,681,225.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.