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Finding the Fourth Proportional to 8,432,599,658, 12,573,509,818.66 and 8,200,919,179.64

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Solution

The fourth proportional to 8,432,599,658, 12,573,509,818.66 and 8,200,919,179.64 is: 12,228,060,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432,599,658 : 12,573,509,818.66 = 8,200,919,179.64 : x
  2. Step 2: Convert to fraction form
    8,432,599,658/12,573,509,818.66 = 8,200,919,179.64/x
  3. Step 3: Cross multiply
    8,432,599,658x = 12,573,509,818.66 × 8,200,919,179.64
  4. Step 4: Simplify right side
    8,432,599,658x = 103,114,337,827,240,656,896
  5. Step 5: Solve for x
    x = 103,114,337,827,240,656,896/8,432,599,658
  6. Step 6: Final answer
    x = 12,228,060,385.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.