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Finding the Fourth Proportional to 577,169,562.53, 796,472,657.89 and 312,845,880.46

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Solution

The fourth proportional to 577,169,562.53, 796,472,657.89 and 312,845,880.46 is: 431,715,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,169,562.53 : 796,472,657.89 = 312,845,880.46 : x
  2. Step 2: Convert to fraction form
    577,169,562.53/796,472,657.89 = 312,845,880.46/x
  3. Step 3: Cross multiply
    577,169,562.53x = 796,472,657.89 × 312,845,880.46
  4. Step 4: Simplify right side
    577,169,562.53x = 249,173,189,919,913,408
  5. Step 5: Solve for x
    x = 249,173,189,919,913,408/577,169,562.53
  6. Step 6: Final answer
    x = 431,715,748.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.