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Finding the Fourth Proportional to 976,650,824.80, 1,466,676,848.40 and 517,485,800.80

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Solution

The fourth proportional to 976,650,824.80, 1,466,676,848.40 and 517,485,800.80 is: 777,129,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,650,824.80 : 1,466,676,848.40 = 517,485,800.80 : x
  2. Step 2: Convert to fraction form
    976,650,824.80/1,466,676,848.40 = 517,485,800.80/x
  3. Step 3: Cross multiply
    976,650,824.80x = 1,466,676,848.40 × 517,485,800.80
  4. Step 4: Simplify right side
    976,650,824.80x = 758,984,443,409,094,272
  5. Step 5: Solve for x
    x = 758,984,443,409,094,272/976,650,824.80
  6. Step 6: Final answer
    x = 777,129,782.86

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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.