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Finding the Fourth Proportional to 1,755,216,797.61, 2,633,730,373.84 and 822,634,388.94

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Solution

The fourth proportional to 1,755,216,797.61, 2,633,730,373.84 and 822,634,388.94 is: 1,234,375,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755,216,797.61 : 2,633,730,373.84 = 822,634,388.94 : x
  2. Step 2: Convert to fraction form
    1,755,216,797.61/2,633,730,373.84 = 822,634,388.94/x
  3. Step 3: Cross multiply
    1,755,216,797.61x = 2,633,730,373.84 × 822,634,388.94
  4. Step 4: Simplify right side
    1,755,216,797.61x = 2,166,597,176,706,017,280
  5. Step 5: Solve for x
    x = 2,166,597,176,706,017,280/1,755,216,797.61
  6. Step 6: Final answer
    x = 1,234,375,821.64

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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.