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Finding the Fourth Proportional to 773,750,692.80, 1,160,626,039.20 and 729,408,830.40

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Solution

The fourth proportional to 773,750,692.80, 1,160,626,039.20 and 729,408,830.40 is: 1,094,113,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,750,692.80 : 1,160,626,039.20 = 729,408,830.40 : x
  2. Step 2: Convert to fraction form
    773,750,692.80/1,160,626,039.20 = 729,408,830.40/x
  3. Step 3: Cross multiply
    773,750,692.80x = 1,160,626,039.20 × 729,408,830.40
  4. Step 4: Simplify right side
    773,750,692.80x = 846,570,881,784,656,512
  5. Step 5: Solve for x
    x = 846,570,881,784,656,512/773,750,692.80
  6. Step 6: Final answer
    x = 1,094,113,245.60

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1.5x scale

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.