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Finding the Fourth Proportional to 976,650,808.80, 1,466,676,824.40 and 517,485,784.80

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Solution

The fourth proportional to 976,650,808.80, 1,466,676,824.40 and 517,485,784.80 is: 777,129,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,650,808.80 : 1,466,676,824.40 = 517,485,784.80 : x
  2. Step 2: Convert to fraction form
    976,650,808.80/1,466,676,824.40 = 517,485,784.80/x
  3. Step 3: Cross multiply
    976,650,808.80x = 1,466,676,824.40 × 517,485,784.80
  4. Step 4: Simplify right side
    976,650,808.80x = 758,984,407,522,605,824
  5. Step 5: Solve for x
    x = 758,984,407,522,605,824/976,650,808.80
  6. Step 6: Final answer
    x = 777,129,758.85

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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.