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Finding the Fourth Proportional to 806,717,672.80, 1,210,076,509.20 and 788,801,768.80

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Solution

The fourth proportional to 806,717,672.80, 1,210,076,509.20 and 788,801,768.80 is: 1,183,202,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,717,672.80 : 1,210,076,509.20 = 788,801,768.80 : x
  2. Step 2: Convert to fraction form
    806,717,672.80/1,210,076,509.20 = 788,801,768.80/x
  3. Step 3: Cross multiply
    806,717,672.80x = 1,210,076,509.20 × 788,801,768.80
  4. Step 4: Simplify right side
    806,717,672.80x = 954,510,490,840,289,408
  5. Step 5: Solve for x
    x = 954,510,490,840,289,408/806,717,672.80
  6. Step 6: Final answer
    x = 1,183,202,653.20

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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.