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Finding the Fourth Proportional to 499,896,167.76, 749,963,970.72 and 208,601,249.76

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Solution

The fourth proportional to 499,896,167.76, 749,963,970.72 and 208,601,249.76 is: 312,951,832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,896,167.76 : 749,963,970.72 = 208,601,249.76 : x
  2. Step 2: Convert to fraction form
    499,896,167.76/749,963,970.72 = 208,601,249.76/x
  3. Step 3: Cross multiply
    499,896,167.76x = 749,963,970.72 × 208,601,249.76
  4. Step 4: Simplify right side
    499,896,167.76x = 156,443,421,567,164,032
  5. Step 5: Solve for x
    x = 156,443,421,567,164,032/499,896,167.76
  6. Step 6: Final answer
    x = 312,951,832.11

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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.