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Finding the Fourth Proportional to 164,670,649.94, 247,007,905.95 and 49,656,196.82

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Solution

The fourth proportional to 164,670,649.94, 247,007,905.95 and 49,656,196.82 is: 74,484,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,670,649.94 : 247,007,905.95 = 49,656,196.82 : x
  2. Step 2: Convert to fraction form
    164,670,649.94/247,007,905.95 = 49,656,196.82/x
  3. Step 3: Cross multiply
    164,670,649.94x = 247,007,905.95 × 49,656,196.82
  4. Step 4: Simplify right side
    164,670,649.94x = 12,265,473,193,949,248
  5. Step 5: Solve for x
    x = 12,265,473,193,949,248/164,670,649.94
  6. Step 6: Final answer
    x = 74,484,877.53

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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.