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Finding the Fourth Proportional to 496,598,117.30, 744,897,175.95 and 496,598,117.30

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Solution

The fourth proportional to 496,598,117.30, 744,897,175.95 and 496,598,117.30 is: 744,897,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,598,117.30 : 744,897,175.95 = 496,598,117.30 : x
  2. Step 2: Convert to fraction form
    496,598,117.30/744,897,175.95 = 496,598,117.30/x
  3. Step 3: Cross multiply
    496,598,117.30x = 744,897,175.95 × 496,598,117.30
  4. Step 4: Simplify right side
    496,598,117.30x = 369,914,535,158,856,896
  5. Step 5: Solve for x
    x = 369,914,535,158,856,896/496,598,117.30
  6. Step 6: Final answer
    x = 744,897,175.95

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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.