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Finding the Fourth Proportional to 538,962,400.80, 806,931,946.80 and 523,845,856.80

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Solution

The fourth proportional to 538,962,400.80, 806,931,946.80 and 523,845,856.80 is: 784,299,528.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,962,400.80 : 806,931,946.80 = 523,845,856.80 : x
  2. Step 2: Convert to fraction form
    538,962,400.80/806,931,946.80 = 523,845,856.80/x
  3. Step 3: Cross multiply
    538,962,400.80x = 806,931,946.80 × 523,845,856.80
  4. Step 4: Simplify right side
    538,962,400.80x = 422,707,957,050,737,984
  5. Step 5: Solve for x
    x = 422,707,957,050,737,984/538,962,400.80
  6. Step 6: Final answer
    x = 784,299,528.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.